In the figure, PQSR represents a flower bed. If OP=21m and OR=14m, find the area of the shaded portion.
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Solution
Given: OP=21m and OR=14m Area of the flower bed = Area of the quadrant OQP − Area of the quadrant OSR =14π×OP2−14π×OR2 =14×π×212−14×π×142 =14×π×(212−142) =14×227×(21+14)×(21−14) ∴ Area of the flower bed =14×227×35×7=192.5m2.