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Question
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
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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