in the given figure ABCD is a rectangle of dimensions 21 centimetre into 14 centimetre semicircle is drawn with BC as diameter find the area and perimeter of the shaded region in the figure.
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Area of shaded region = Area of rectangle - Area of semicircle Area of rectangle = AD x AB = 14 x 21 = 294 `cm^2`
Radius of semicircle r = BC/2 = 14/2 = 7 cm
Area of semicircle = `1/2pir^2` = `1/2*22/7*7^2` = 77 `cm^2`
Area of shaded region = 294 - 77 = 217 `cm^2` Area of shaded region is 217 `cm^2`
Radius of semicircle r = BC/2 = 14/2 = 7 cm
Area of semicircle = `1/2pir^2` = `1/2*22/7*7^2` = 77 `cm^2`
Area of shaded region = 294 - 77 = 217 `cm^2` Area of shaded region is 217 `cm^2`
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