Question

A play ground has the shape of a rectangle with two semi-circle on its smaller sides a diameter added to its outside.If the sides of the rectangle are 36cm and 24cm.Find the area of the play ground

Answer 1

Explanation:

Given :

Length of a rectangle = 36 m

Breadth of a rectangle = 24.5 m

Diameter of a semicircle = Breadth of a rectangle = 24.5 m

2r = 24.5  

r = 24.5/2 = 12.25 m

Radius of a semicircle, r = 12.25 m

Area of rectangle,A1 = l ×b

A1 = 36 × 24.5  

A1 = 882 m²

Area of semicircle, A2 = ½ πr²

A2 = ½ × 22/7 × (12.25)²

A2 = 11 × 1.75 × 12.25

A2 = 235.81 m²

Area of playground,A = Area of rectangle + 2 × Area of semicircle

A = A1 + 2 × A2

A = 882 + 2 × 235.81

A = 882 + 471.62

A = 1353.62 m²

Area of playground = 1353.62 m²

Hence, the area of playground is 1353.62 m².

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