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Update about.html
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about.html

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"name": "Area of a circle",
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"description": "The exact area of a circle based on direct comparison with a square.",
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"disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.",
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"target": "https://basic-geometry.github.io/about/",
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"target": "https://basic-geometry.github.io/about",
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"mathExpression-input": "r=5 A=?",
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"mathExpression-output": "angle of rotation / 360 * 3.2 * Math.pow(radius, 2)",
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"image": "areaOfACircle.jpg",
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"name": "Circumference of a Circle",
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"description": "Algebraic derivation of the exact circumference of a circle from its area",
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"disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.",
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"target": "https://basic-geometry.github.io/about/",
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"target": "https://basic-geometry.github.io/about",
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"mathExpression-input": "r=5 C=?",
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"mathExpression-output": "angle of rotation / 360 * 6.4 * radius",
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"image": "circumference.jpg",
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"name": "Volume of a sphere",
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"description": "The exact volume of a sphere by directly comparing it to a cube. Direct shape relationships ensure greater accuracy in real-world measurements.",
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"disambiguatingDescription": "More accurate than the traditional exhaustion method based formula which is a very rough underestimate.",
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"target": "https://basic-geometry.github.io/about/",
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"target": "https://basic-geometry.github.io/about",
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"mathExpression-input": "r=3 V=?",
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"mathExpression-output": "angle of rotation / 360 * Math.pow((Math.sqrt(3.2) * radius), 3)",
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"image": "sphereAndCubeMarkup.jpeg",
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"eduQuestionType": "Volume calculation"
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}
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],
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"url": "https://basic-geometry.github.io/about/",
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"url": "https://basic-geometry.github.io/about",
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"usageInfo":"Calculate area and volume with enhanced accuracy using the Core Geometric System ™. This innovative framework provides a practical alternative to traditional methods, rooted in comparative geometry and scaling principles. Learn exact formulas for circles (A = 3.2r^2, C = 6.4r), spheres (V = (√(3.2)r)^3), cones, and more, with applications in engineering, computer graphics, and scientific research."
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},
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"offers": {
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],
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"thumbnail" :"android-chrome-256x256",
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"typicalAgeRange" :"12-102",
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"url": "https://basic-geometry.github.io/about/",
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"url": "https://basic-geometry.github.io/about",
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"usageInfo": "Discover the Core Geometric System ™, a groundbreaking framework offering a fresh perspective on calculating area and volume using a 3D coordinate system. Challenging conventional formulas, this system provides empirically-grounded alternatives with a focus on practical accuracy for real-world applications in engineering, design, science, and beyond. Explore exact values and intuitive geometric relationships for circles, spheres, cones, and more."
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}
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</script>
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<br>
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<br>
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<br>
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<a style="margin:12px;" class="rounded-button" href="https://gmac4247.github.io/about/">Switch to accessibility version</a>
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<a style="margin:12px;" class="rounded-button" href="https://gmac4247.github.io/about">Switch to accessibility version</a>
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<br>
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<br>
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<footer>

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