Sum
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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Solution
Let rectangular play area be ABCD
AB = CD = 36m [length]
AD = BC = 24.5 m [breadth]
Radius of the semicircle =`1/2`(𝐵𝐶) = 𝑅
=`1/2`× (24.5) = 12.25𝑐𝑚
Area of playground = (Area of rectangle) + 2(Area of semicircle)
= (𝐴𝐵 × 𝐵𝐶) +` (1/2pir^2) 2`
= (36 × 24.5) +` (1/2×22/7× 12.25 × 12.25) 2`
= 882 + 471.625
= 1353.625 𝑚2
Concept: Circumference of a Circle
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