how to prove area of circle
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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 = 2Пr/2= Пr
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.
Cut the sectors and arrange them as shown so that it forms a rectangle
Length of rectangle = half the circumference of the circle = 2Пr/2= Пr
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.
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