Question

if the circumference and the area of a circle are numerically equal then find the radius of the circle

Answer 1

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Area of circle = circumference of circle


=> πr² = 2πr


=> Dividing by πr on both the sides


=> r = 2


=> So the radius of the circle is 2 units .


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Answer 2

Given 2πr=πr²
cancelling π from each side.gives,
2r=r².
r²-2r=0.
r(r-2)=0
Transferring r to other side=0/r=0.
r-2=0.
r=2.

Radius of circle is 2u