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# Tick the correct answer in the following and justify your choice : If the perimeter and the area of a circle are numerically equal, then the radius of the circle is : (a) $$2$$ units (b) $$\pi$$ units (c) $$4$$ units (d) $$7$$ units

Here, $$2 \pi r \ = \ \pi r^2$$, where r is the radius

$$\Rightarrow \ r^2 \ - \ 2r \ = \ 0$$

$$\Rightarrow \ r(r \ - \ 2) \ = \ 0$$

$$\Rightarrow \ r \ = \ 0 \ or \ r \ = \ 2$$

But, $$r \ \ne \ 0$$ $$\therefore$$ $$r \ = \ 2$$ units

Hence the correct option is (a).