Question

Question 5
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

Answer 1

Let the radius of the circle be r.
$\therefore$ Perimeter of the circle = Circumference of the circle $=2\pi r$
$\therefore$ Area of the circle $=\pi r^2$
Given: Area = Perimeter
$\Rightarrow$$2\pi r=\pi r^2$
$\Rightarrow 2=r$
Thus, the radius of the circle is 2 units. (A) is correct.