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      Question

      The length of a side of an equilateral triangle is 18

      cm. The area (in cm┬▓) of the region lying between the circumcircle and the incircle of the triangle is [use use ╧А =22/7]
      A 252(4/7) Correct Answer Incorrect Answer
      B 254(2/7) Correct Answer Incorrect Answer
      C 254(4/7) Correct Answer Incorrect Answer
      D 248(2/7) Correct Answer Incorrect Answer

      Solution

      Side of the equilateral triangle = 18 cm Radius of circum - circle R = 18/тИЪ3 cm Radius of in - circle r = 18/2тИЪ3 = 9/тИЪ3 cm Area between the circum - circle and in тАУ circle = ╧А (R2 тАУ r┬▓) ┬а = ╧А (R+ r) (R-r) = (22/7) ├Ч (18/тИЪ3 + 9/тИЪ3) (18/тИЪ3-9/тИЪ3) = (22/7) ├Ч 27/тИЪ3 ├Ч 9/тИЪ3 = (81├Ч22)/7 = 1782/7 cm┬▓ =254(4/7) cm2

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