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Question 117
The perimeter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
Solution
Let the side of the square be a cm.
Perimeter of the square = 4a cm.
Perimeter of the rectangle = 2(16+14) = 2*30 = 60 cm
Given, 4a = 50 => a = 15 cm
Diameter of semicircle = 15 cm
Then, Circumference of semicircle = $$\dfrac{22}{7}\times\dfrac{15}{2} + 15 = 23.57+15 = 38.57 cm$$
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