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Question
In the given figure, the sectors of two concentric circles of radii 7 cm and 3.5 cm are shown. Find the area of the shaded region.
Solution
Area of the shaded region = (Area of the sector with r =7 cm and θ -30°) - (Area of the sector with r = 3.5 cm and θ = 30°)
`=|(22/7xx7xx7xx30/360) - (22/7xx3.5xx3.5xx30/360)|"cm"^2`
`=(77/6-77/24)"cm"^2`
`=77/8 "cm"^2`
= 9.625 cm2
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