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Question

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 ?

A 420.25 cm² Correct Answer Incorrect Answer
B 930.25 cm² Correct Answer Incorrect Answer
C 1806.25 cm² Correct Answer Incorrect Answer
D 702.25 cm² Correct Answer Incorrect Answer

Solution

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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