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Question

If the perimeter and the area of a circle are numerically equal, then find the radius of the circle.

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Solution

We have,

Perimeter = Area of circle


We know that,

Peremeter = 2π r

Area = πr2


Therefore,

2πr = πr2

r = 2

Radius = 2 units


Hence, this is the radius of the circle.


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