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In the given figure, are shown two arcs ...

In the given figure, are shown two arcs PAQ and PBQ. Arc PAQ is a part of circle with centre O and radius OP while are PBQ is a semi-circle drawn on PQ as diameter with centre M. If PQ = OP = 10 cm show that area of shaded region is ` 25(sqrt3 - pi/ 6)`.

Text Solution

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area of semicircle PBQ - area of segment PAQ
Area of semicircle= `(pi r^2 )/2 `
`= pi xx 25/2 cm^2`
area of segment PAQ = Area of arc POQ - Area of Tri POQ
`360^@ -> pi r^2`
`1^@ -> (pi r^2)/360`
`60^@ -> 60/360 xx pi r^2`
...
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