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A playground has the shape of rectangle, with two semicircles on its smaller sides as diameters, added to its outside. If the sides of rectangle are 36m and 24.5m. find the area of playground.
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Let rectangular play area be ABCD
AB = CD = 36m [length]
AD = BC = 24.5 m [breadth]
Radius of the semicircle =`1/2`(ЁЭР╡ЁЭР╢) = ЁЭСЕ
=`1/2`× (24.5) = 12.25ЁЭСРЁЭСЪ
Area of playground = (Area of rectangle) + 2(Area of semicircle)
= (ЁЭР┤ЁЭР╡ × ЁЭР╡ЁЭР╢) +` (1/2pir^2) 2`
= (36 × 24.5) +` (1/2×22/7× 12.25 × 12.25) 2`
= 882 + 471.625
= 1353.625 ЁЭСЪ2
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