Question
CalculateĀ the perimeter of a square when the area of a
circle that circumscribes it is 486 square centimeters. (Assume Ļ = 3 for calculations.)Solution
ATQ, Let radius of the circle is ārā cm. So, Ļr 2 = 486 Or, r 2 = 162 Or, r = 9ā2 So, diameter of circle = diagonal of square Or, ā2 Ć side of square = 2 Ć 9ā2 So, side of square = 18 Perimeter of square = 4 Ć side = 4 Ć 18 = 72 cm
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