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how to derive the area of a circle. One way of finding its area is to use other geometrical shapes whose area we can already calculate such as a rectangle. Solve the above equation for y.
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One way of finding its area is to use other geometrical shapes whose area we can already calculate such as a rectangle. The formula is simple and only needs the radius of the circle to find its area. One method of deriving this formula which originated with Archimedes involves viewing the circle as the limit of a sequence of regular polygons.
This page looks to give a general run through of how the formula for the area of a circle can be derived.
The area of a circle is give by one-half multiplied by t tau mutliplied by the radius of the circle squared. Circle opened into segments and arranged into a rectangle to illustrate how the formula area p r2 can be derived. It is reasonable then to replace 8s by 2 pi r which is the perimeter of the circle to calculate the area of the polygon or the circle when the number of sides is very big. One method of deriving this formula which originated with Archimedes involves viewing the circle as the limit of a sequence of regular polygons.
