# 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

**Solution:**

We use the concepts of the formula of area and perimeter of the circle to solve the problem.

Given that the perimeter and area of the circle are numerically equal. We get 2πr = πr^{2}. Using this equation, we find the radius.

Let the radius of the circle is equal to r.

Circumference of circle = 2πr

Area of circle = πr^{2}

The circumference of the circle and the area of the circle are equal.

This implies 2πr = πr^{2}

2 = r

Therefore, the radius of the circle is 2 units. Hence, the correct answer is A.

**Video Solution:**

## 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

### NCERT Solutions Class 10 Maths - Chapter 12 Exercise 12.1 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

The radius of the circle is 2 units if the perimeter and the area of a circle are numerically equal