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Question:

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is:

2 units

π units

4 units

7 units

Solution:

Correct option is A. 2 units
Let r be the radius, C be the circumference and A be the area of the circle.
Perimeter of circle = Circumference of circle
Given
∴ 2 πr = πr²
⇒ r = 2 units