The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7...........

Quantitative Aptitude ( CCS) Mensuration 2D

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

55.12 cm

22.54 cm

42.51 cm

38.57 cm

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Explanation:

We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm
Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm
Therefore, side of the square is = 1/4 x 60 = 15cm
Circumference of the required semicircle = πr + 2r = 22/7× 15/2 + 2×15/2 = 23.57 + 15 = 38.57cm.