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Question
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.
Solution
Let rectangular play area be ABCD
AB = CD = 36m [length]
AD = BC = 24.5 m [breadth]
Radius of the semicircle =`1/2`(๐ต๐ถ) = ๐
=`1/2`× (24.5) = 12.25๐๐
Area of playground = (Area of rectangle) + 2(Area of semicircle)
= (๐ด๐ต × ๐ต๐ถ) +` (1/2pir^2) 2`
= (36 × 24.5) +` (1/2×22/7× 12.25 × 12.25) 2`
= 882 + 471.625
= 1353.625 ๐2
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