Circle/Inscribed n-polygon/Approximation/Exercise
We consider a circle (with radius ) and regular -gons inscribed in the circle.
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Suppose that a square is inscribed in the circle. Determine its area and its perimeter.
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Suppose that a regular -gon is inscribed. Determine its area and its perimeter.
- The area of an inscribed regular -gon is an approximation for the area of the circle and its perimeter is an approximation for the circumference of the circle. Which one is better?