Find the area of a sector of a circle of radius 28 cm and central angle 45°
Solution:
Given, central angle, θ = 45°
Radius of circle, r = 28 cm
We have to find the area of a sector of a circle.
Area of sector = πr²θ/360°
= (22/7)(28)²(45°/360°)
= (22)(28)(4)(1/8)
= (22)(28)(1/2)
= (11)(28)
= 308 cm²
Therefore, the area of the sector is 308 cm².
✦ Try This: Find the area of a sector of a circle of radius 16 cm and central angle 60°.
Given, central angle, θ = 60°
Radius of circle, r = 16 cm
We have to find the area of a sector of a circle.
Area of sector = πr²θ/360°
= (22/7)(16)²(60°/360°)
= (22/7)(16)(16)(1/6)
= (22/7)(8)(16)(1/3)
= 134.095 cm²
Therefore, the area of the sector is 134.095 cm².
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 12
NCERT Exemplar Class 10 Maths Exercise 11.3 Problem 3
Find the area of a sector of a circle of radius 28 cm and central angle 45°
Summary:
A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii. The area of a sector of a circle of radius 28 cm and central angle 45° is 308 cm²
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