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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