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Grey crescent is the area...

Grey crescent is the area

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In Figure, a crescent is formed by two circles which touch at A. C is the centre of the larger circle. The width of the crescent at BD is 9cm and at EF it is 5cm. Find (i) the radii of two circles (ii) the area of the shaded region.

In Figure, a crescent is formed by two circles which touch at A. C is the centre of the larger circle. The width of the crescent at BD is 9cm and at EF it is 5cm. Find (i) the radii of two circles (ii) the area of the shaded region.

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The shaded crescent shown is bounded by a semi-circle and the arc of a second circle whose centre is on the first circle.If the second circle has radius r then the area of the crescent is