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      Question

      In a circle AB is diameter & C is a point on

      circumference such that AC = 8 cm & BC = 15 cm then find the area of circle ?
      A 420.25╧А cm┬▓ Correct Answer Incorrect Answer
      B 930.25╧А cm┬▓ Correct Answer Incorrect Answer
      C 1806.25╧А cm┬▓ Correct Answer Incorrect Answer
      D 72.25╧А cm┬▓ Correct Answer Incorrect Answer

      Solution

      As AB is diameter So Angle ACB = 90 degree ; Hence in right angle ╬Ф ABC, AB 2 = AC 2 + BC 2 = 82 + 152 = 64 + 225 = 289 AB = 17 cm = 2R So R = 17/2 cm Hence, Area of circle = ╧АR 2 ┬а= ╧А (17/2) 2┬а┬а= 72.25╧А cm 2 ┬а

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