# Find the area of a quadrant of a circle whose circumference is 22 cm.

**Solution:**

Let the radius of the circle be 'r'

Thus, the circumference C = 2πr

Therefore, r = C/2π

A quadrant of a circle means one of the four equal parts.

Therefore, the area of a quadrant = 1/4 × Area of a circle = 1/4 × πr^{2}

Circumference (C) = 22 cm

Therefore, radius (r) = C/2π

= 22/(2 × 22/7)

= (22 × 7)/(2 × 22)

= 7/2 cm

Therefore, the area of a quadrant = 1/4 × πr^{2}

= 1/4 × 22/7 × 7/2 × 7/2

= 77/8 cm^{2}

**Video Solution:**

## Find the area of a quadrant of a circle whose circumference is 22 cm.

### NCERT Solutions Class 10 Maths - Chapter 12 Exercise 12.2 Question 2:

**Summary:**

The area of a quadrant of a circle whose circumference is 22 cm is 77/8 cm^{2}.