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Question
Find the area of the sector of a circle of radius 7 cm and of central angle 90°. Also, find the area of corresponding major sector.
Solution
Given that,
Radius of circle = 7 cm
Central angle = 90°
Now, area of minor sector of circle
= `(πr^2θ)/360^circ`
= `(π(7)^2)/4`
= `(22 xx 7 xx 7)/(7 xx 4)`
= 38.5 cm2
Area of complete circle
= πr2
= π(7)2
= 154 cm2
Now, area of major sector
= Area of complete circle – Area of minor sector
= 154 – 38.5
= 115.5 cm2
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