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Question

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


Solution

We have,

$$Perimeter$$ $$=\ Area\ of\ circle$$


We know that,

$$Peremeter$$ $$=\ 2\pi \  r$$

$$Area$$ $$=\ \pi r^2$$


Therefore,

$$2\pi r\ =\ \pi r^2$$

$$r\ =\ 2$$

Radius $$=\ 2\ units$$


Hence, this is the radius of the circle.


Maths

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