# The Area of the Sector of a Circle of Radius 10.5 Cm is 69.3 Cm2. Find the Central Angle of the Sector. - Mathematics

Sum

The area of the sector of a circle of radius 10.5 cm is 69.3 cm2. Find the central angle of the sector.

#### Solution

Given:
Area of the sector = 63 cm2

Now,

Area of the sector=(pi"r"^2theta)/360

=> 69.3 = 22/7xx10.5xx10.5xxtheta/360

=> theta = (69.3xx7xx360)/(22xx10.5xx10.5)

⇒ θ = 72°

∴ Central angle of the sector = 72°

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 12 | Page 831