In a circle AB is diameter & C is a point on circumference such that AC = 13 cm & BC = 84 cm then find the area of circle ?
As AB is diameter So Angle ACB = 90 degree ; Hence in right angle Δ ABC, AB 2 = AC 2 + BC 2 = 132 + 842 = 169 +7056 = 7225 AB = 85 cm = 2R So R = 85/2 cm Hence, Area of circle = πR 2 = π (85/2) 2 = 1806.25 cm 2
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