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. π units
C. 4 units
D. 7 units
Let the radius of the circle be r
Circumference of circle = 2πr
Area of circle = πr2
Given that, the circumference of the circle and the area of the circle are equal.
This implies 2πr = πr2
2 = r
Therefore, the radius of the circle is 2 units
Hence, the correct answer is A