Question

proof of area of circle

Answer 1

here is ur answer mate....


In geometry, the area enclosed by a circle of radius r is π r2. ... The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and the corresponding formula (that the area is half the perimeter times the radius, i.e. 12 × 2πr × r) holds in the limit for a circle.....

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Answer 2

Hey mate!!

Consider a circle divided into large number of sectors as shown . Cut the sectors and arrange them as shown so that it forms a rectangle .

Length of rectangle = half the circumference of the circle = 2 π r/2= π r 

Breadth of the rectangle = r (radius of the circle) Area of rectangle = length x breadth =  πr  x r =  πr2 Hence area of a circle is πr2 sq units.

Thanks for the question!!