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index.html

Lines changed: 37 additions & 64 deletions
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@@ -620,7 +620,7 @@ <h3 itemprop="name">Multiplying Fractions</h3>
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<section id="dividing_fractions" itemscope itemtype="http://schema.org/LearningResource" itemref="division">
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<section itemprop="about" id="dividing_fractions" itemscope itemtype="http://schema.org/LearningResource" itemref="division">
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<h3 itemprop="name">Dividing Fractions</h3>
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<br>
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<p itemprop="abstract">A fraction can be divided by dividing its counter, or multiplying its denominator.
@@ -697,25 +697,24 @@ <h3 itemprop="name">Dividing Fractions</h3>
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<br>
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<section id="geometry" itemprop="about" itemscope itemtype="http://schema.org/LearningResource" itemref="powers">
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<section id="geometry" itemprop="about" itemscope itemtype="http://schema.org/LearningResource">
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<h3 itemprop="name" >The 2nd and the 3rd Powers manifesting in Geometry</h3>
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<br>
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<section itemprop="about" itemscope itemtype="http://schema.org/LearningResource" id="square">
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<section itemprop="about" itemscope itemtype="http://schema.org/LearningResource" id="square">
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<h3 itemprop="name">Area of a Square</h3>
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<br>
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<figure itemprop="image" itemscope itemtype="http://schema.org/ImageObject">
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<img class="center-fit" src="square.png" alt="A square is a 2 dimensional plane shape with 2 perpendicular pairs of parallel straight sides. Area = side × side = side²">
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</figure>
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<br>
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<p itemprop="usageInfo">The square is the foundational shape for area calculations. All area formulas relate to this instance.</p>
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<strong itemprop="usageInfo">The square is the foundational shape for area calculations. All area formulas relate to this instance.</strong>
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<br>
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<p itemprop="abstract">A rectangle is a 2 dimensional plane shape with 2 perpendicular pairs of parallel straight sides.
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The area of a rectangle is the product of its width and length.</p>
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<p itemprop="description">A square is a rectangle with equal sides.</p>
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<br>
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<div itemprop="description">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML" >
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<mrow>
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<mi>A</mi>
@@ -740,21 +739,20 @@ <h3 itemprop="name">Area of a Square</h3>
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<br>
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<section itemscope itemtype="https://schema.org/LearningResource" id="cube" itemref="subtraction">
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<h3 style="margin:7px" itemprop="name">Volume of a Cube</h3>
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<section itemprop="about" itemscope itemtype="https://schema.org/LearningResource" id="cube" itemref="subtraction">
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<h3 itemprop="name">Volume of a Cube</h3>
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<br>
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<figure itemprop="image" class="imgbox" itemscope itemtype="http://schema.org/ImageObject">
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<img class="center-fit" src="cube.jpeg" alt="A cube is a 3 dimensional solid shape with 3 equal perpendicular pairs of parallel straight edges. V = edge × edge × edge = edge³">
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</figure>
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<br>
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<p style="margin:12px" itemprop="usageInfo">The cube extends the square into three dimensions. That is a direct extrapolation from the area of the square, establishing the basis for volumetric relationships. This is the basis of volume calculation.</p>
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<strong itemprop="usageInfo">The cube extends the square into three dimensions. That is a direct extrapolation from the area of the square, establishing the basis for volumetric relationships. This is the basis of volume calculation.</strong>
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<br>
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<p style="margin:12px" itemprop="abstract">A cuboid is a 3 dimensional solid shape with 3 perpendicular pairs of parallel straight edges.
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<p itemprop="abstract">A cuboid is a 3 dimensional solid shape with 3 perpendicular pairs of parallel straight edges.
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<br>
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<br>The volume of a cuboid is the product of width, length and height.</p>
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<p style="margin:12px" itemprop="description">A cube is a cuboid with equal edges.</p>
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<p itemprop="description">A cube is a cuboid with equal edges.</p>
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<br>
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<div itemprop="description">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
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<mi>V</mi>
@@ -775,7 +773,6 @@ <h3 style="margin:7px" itemprop="name">Volume of a Cube</h3>
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</mrow>
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</mrow>
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</math>
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</div>
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</section>
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</section>
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</details>
@@ -791,12 +788,12 @@ <h3 style="margin:7px" itemprop="name">Volume of a Cube</h3>
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<meta itemprop="url" content="https://basic-geometry.github.io">
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<meta itemprop="inLanguage" content="en">
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<meta itemprop="isFamilyFriendly" content="true">
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<meta itemprop="keywords" content="triangle area">
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<meta itemprop="keywords" content="triangle area calculation">
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<meta itemprop="educationalLevel" content="from basic to advanced">
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<meta itemprop="typicalAgeRange" content="6-18">
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<section itemprop="potentialAction" itemscope itemtype="https://schema.org/SolveMathAction" id="triangle" itemref="square">
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<h3 style="margin:7px" itemprop="eduQuestionType">Area of a Triangle</h3>
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<meta itemprop="target" content="https://basic-geometry.github.io?q={side1=3 side2=4 side3=5 area=?}">
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<meta itemprop="target" content="https://basic-geometry.github.io?q={side1=3_side2=4_side3=5_area=?}">
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<p itemprop="description" style="margin:12px">The area of a triangle equals half of the area of a rectangle with a width equal to the base of the triangle and length equal to the height of the triangle.
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<div itemprop="result" itemscope itemtype="https://schema.org/MathSolver">
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<math itemprop="mathExpression" xmlns="http://www.w3.org/1998/Math/MathML" >
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<math xmlns="http://www.w3.org/1998/Math/MathML" >
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<mrow>
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<mi>S</mi>
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@@ -907,16 +904,16 @@ <h3 style="margin:7px" itemprop="eduQuestionType">Area of a Triangle</h3>
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<div itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication" style="margin:12px" id="triangle_area_calculator">
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<meta itemprop="name" content="Circle Segment Area Calculator">
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<meta itemprop="name" content="Triangle Area Calculator">
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<meta itemprop="applicationCategory" content="EducationalApplication">
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<meta itemprop="operatingSystem" content="Web">
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<label for="side1" itemprop="mathExpression">Side 1:</label>
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<label for="side1">Side 1:</label>
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<input id="side1" type="number" value="1" step="any">
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<label for="side2" itemprop="mathExpression">Side 2:</label>
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<label for="side2">Side 2:</label>
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<input id="side2" type="number" value="1" step="any">
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<label for="side3" itemprop="mathExpression">Side 3:</label>
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<label for="side3">Side 3:</label>
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<input id="side3" type="number" value="1" step="any">
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<script>
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function triangleArea(product) {
@@ -1590,31 +1587,15 @@ <h3 itemprop="name" style="margin:7px">Trigonometry</h3>
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<section itemscope itemtype="https://schema.org/LearningResource https://schema.org/MathSolver" id="polygon" itemref="triangle">
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<h3 itemprop="name" style="margin:7px">Area of a regular Polygon</h3>
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<meta itemprop="url" content="https://basic-geometry.github.io">
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<meta itemprop="inLanguage" content="en">
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<meta itemprop="keywords" content="polygon area">
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<meta itemprop="educationalLevel" content="advanced">
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<meta itemprop="typicalAgeRange" content="12-16">
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<meta itemprop="usageInfo" content="For regular polygons only">
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<div itemprop="potentialAction" itemscope itemtype="https://schema.org/SolveMathAction">
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<meta itemprop="mathExpression" content="polygon side number=5 length=2 area=?">
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<meta itemprop="eduQuestionType" content="Polygon Area">
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<div itemprop="target" itemscope itemtype="https://schema.org/EntryPoint">
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<meta itemprop="urlTemplate" content="https://basic-geometry.github.io?q={math_expression_string}">
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</div>
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<div itemprop="result" itemscope itemtype="https://schema.org/MathematicalSolution">
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<meta itemprop="eduSolution" content="6.8776">
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</div>
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</div>
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<br>
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<section itemprop="potentialAction" itemscope itemtype="https://schema.org/SolveMathAction" id="polygon" itemref="triangle">
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<h3 itemprop="eduQuestionType" style="margin:7px">Area of a regular Polygon</h3>
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<meta itemprop="target" content="https://basic-geometry.github.io?q={polygon_side_number=5_length=2_area=?}">
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<br>
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<figure itemprop="image" class="imgbox" itemscope itemtype="http://schema.org/ImageObject">
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<img class="center-fit" src="pentagon.png" alt="A regular polygon can be divided into as many isosceles triangles as many sides it has. Area = (number of sides) / 4 × ctg( 180° / (number of sides) ) × (side length)²">
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</figure>
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<p itemprop="abstract" style="margin:12px">A regular polygon can be divided into as many isosceles triangles as many sides it has.</p>
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<p itemprop="description" style="margin:12px">A regular polygon can be divided into as many isosceles triangles as many sides it has.</p>
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<p itemprop="description" style="margin:12px">The base of each triangle equals the side length of the polygon.
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The height of each triangle is calculable via trigonometric functions.
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</p>
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<div style="margin:12px" itemprop="description">
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<div style="margin:12px">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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</math>
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</div>
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<div itemprop="mathExpression">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<div itemprop="result" itemscope itemtype="https://schema.org/MathSolver">
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<math itemprop="mathExpression" display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<div style="margin:12px" id="polygon_area_calculator">
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<div itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication" style="margin:12px" id="polygon_area_calculator">
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<meta itemprop="name" content="Regular Polygon Area Calculator">
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<meta itemprop="applicationCategory" content="EducationalApplication">
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<meta itemprop="operatingSystem" content="Web">
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<label for="side-number">Number of sides:</label>
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<input id="side-number" type="number" value="5" step="1">
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<section itemscope itemtype="https://schema.org/LearningResource https://schema.org/MathSolver" id="circle" itemref="square">
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<h3 itemprop="name" style="margin:7px">Area of a Circle</h3>
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<meta itemprop="url" content="https://basic-geometry.github.io">
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<meta itemprop="inLanguage" content="en">
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<meta itemprop="keywords" content="Core Geometric System, circle area">
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<meta itemprop="educationalLevel" content="medium">
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<meta itemprop="typicalAgeRange" content="6-12">
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<div itemprop="potentialAction" itemscope itemtype="https://schema.org/SolveMathAction">
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<meta itemprop="mathExpression" content="circle radius=1 area=?">
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<meta itemprop="eduQuestionType" content="Circle Area">
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<div itemprop="target" itemscope itemtype="https://schema.org/EntryPoint">
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<meta itemprop="urlTemplate" content="https://basic-geometry.github.io?q={math_expression_string}">
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<div itemprop="result" itemscope itemtype="https://schema.org/MathematicalSolution">
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<meta itemprop="eduSolution" content="3.2">
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<section itemprop="potentialAction" itemscope itemtype="https://schema.org/SolveMathAction" id="circle" itemref="square">
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<h3 itemprop="eduQuestionType" style="margin:7px">Area of a Circle</h3>
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<meta itemprop="target" content="https://basic-geometry.github.io?q={circle_radius=1_area=?}">
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<figure itemprop="image" class="imgbox" itemscope itemtype="http://schema.org/ImageObject">
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<img class="center-fit" src="circleArea.png" alt="The circle is cut into four quadrants, each placed with their origin on the vertices of a square. The arcs of the quadrants of the circle that equals in area to the square intersect at the quarters on its centerlines. The ratio between the radius of the circle and the side of the square is calculable. r = side × √5 / 4 Area = 3.2r²">
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<p itemprop="description" style="margin:12px">The ratio between the radius of the circle and the side of the square is calculable.</p>
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<div itemprop="description" style="margin:12px">
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<p style="margin:12px" itemprop="description">The area of both the square and the sum of the quadrants equals 16 right triangles with legs of a quarter, and a half of the square's sides, and its hypotenuse equal to the radius of the circle.</p>
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/MathSolver">
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<math itemprop="mathExpression" display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<div style="margin:12px" id="circle_area_calculator">
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<div itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication" style="margin:12px" id="circle_area_calculator">
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<meta itemprop="name" content="Circle Area Calculator">
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<meta itemprop="applicationCategory" content="EducationalApplication">
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<meta itemprop="operatingSystem" content="Web">
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<label for="circle-radius-a">Radius:</label>
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<input id="circle-radius-a" type="number" value="1" step="any">
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