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Question

A play ground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground.     (Take π=227)


Solution

Radius of the semicircle, r=24.52=12.25 m

It is given that the playground has a shape of a rectangle, with two semicircles on its smaller sides as diameter, added to its outside. So,

Area of the playground = Area of rectangle + 2 × Area of semi-circle

=36×24.5+2×π×12.2522

=882+471.625=1353.625 m2


Mathematics
RD Sharma
Standard X

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