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Author: Gmac4247

index.html

@@ -492,6 +492,48 @@ <h1 style="font-size:160%;margin:7px">Exact geometry</h1>
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+<p style="margin:12px;">Key Points:
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+- Comparative Geometry: Using geometric relationships to derive areas and volumes.
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+- Scaling and Proportions: Applying proportional relationships for accurate calculations.
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+- Algebraic Manipulation: Simplifying equations to ensure consistency and precision.
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+- Exact Values instead of Approximations: Prioritizing the use of simpler constants for practicality while maintaining exact values for accuracy.
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+1. Area of a Circle:
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+- Compared to a square, using geometric properties and the Pythagorean theorem.
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+- Formula:  A = 3.2 × ( square value of the radius ). 
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+2. Circumference of a Circle:
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+- Derived from the area by subtracting a smaller theoretical circle.
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+- Formula:  C = 6.4 × radius. 
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+3. Volume of a Sphere:
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+- Compared to a cube, using the area of the sphere's cross-section.
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+- Formula:  V = " cubic value of ( √( 3.2 ) × radius ) ". 
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+4. Volume of a Cone:
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+- Compared to an octant sphere and a quarter cylinder.
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+- Formula:  V = 3.2 × ( square value of the radius ) × height, divided by √8 .
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