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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.

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Solution

Given:
Area of the sector = 63 cm2
Radius = 10.5 cm

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
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