Question
Consider a circle and a square whose circumference ratio
is 11:8. If the sum of the circle's radius and the length of one side of the square equals 30 cm, determine the area of the circle.Solution
Let length of side of the square is ‘x’ cm Radius of the circle = ’30 – x’ cm According to question; [2 × 22/7 × (30 – x)]/(4x) = 11/8 8/7 × (30 – x) = x Or, 240 – 8x = 7x Or, 15x = 240 Or, x = 16 Radius of circle = 30 – 16 = 14 cm Desired Area = 22/7 × 14 × 14 = 616 cm2
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