Question
A square and a rectangle have equal perimeters. The
rectangle has length 18 cm and breadth 10 cm. What is the circumference of a semicircle whose radius equals the side of the square?Solution
ATQ,
Perimeter of the rectangle = 2(18 + 10) = 2 × 28 = 56 cm
Perimeter of the square = 4 × length of each side of square
56 = 4 × length of each side of square
So, length of each side of square = 14 cm
Radius of the semicircle = 14 cm
Circumference of the semicircle = πr + 2r = (22/7) × 14 + 2 × 14 = 44 + 28 = 72 cm
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