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 × πr²

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 × πr²

= 1/4 × 22/7 × 7/2 × 7/2

= 77/8 cm²

☛ Check: NCERT Solutions Class 10 Maths Chapter 12

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 cm².

☛ Related Questions:

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