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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 radius of the circle is:

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2 units

π units

4

units

7

units

answer is A.

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Detailed Solution

Let radius of circle is r.
We know that,
Perimeter of circle

= 2 πr

Area of circle

= π r^{2}

As, the perimeter and area of circle are equal. So,
Perimeter of circle = Area of circle

2 πr = π r^{2}

2 = r

r = 2 units

Hence, radius of the circle is 2 units.
Correct option is 1.

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