Find the area of the sector of a circle of radius 5 cm, if the corresponding arc length is 3.5 cm

Given, radius of circle = 5 cm

Corresponding arc length = 3.5 cm

We have to find the area of the sector of a circle.

Length of the arc = θ/360°(2πr)

3.5 = (θ/360°)(2π)(5)

3.5 = (θ/360°)(2)(22/7)(5)

θ/360° = 3.5(7)/(22)(10)

θ/360° = 24.5/220

θ/360° = 0.1114

Area of sector = πr²θ/360°

= (22/7)(5)²(0.1114)

= 61.27/7

= 8.75 cm²

Therefore, the area of the sector is 8.75 cm².

✦ Try This: Find the area of the sector of a circle of radius 3 cm, if the corresponding arc length is 7 cm.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 12

NCERT Exemplar Class 10 Maths Exercise 11.4 Problem 8

Find the area of the sector of a circle of radius 5 cm, if the corresponding arc length is 3.5 cm

Summary:

The area of the sector of a circle of radius 5 cm, if the corresponding arc length is 3.5 cm is 8.75 cm²

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