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Area of a regular octagon inscribed in a circle of radius 1 unit is:

Question and options

Area of a regular octagon inscribed in a circle of radius 1 unit is:
  1. 222\sqrt{2}
  2. 2+22 + \sqrt{2}
  3. 922\dfrac{9}{2\sqrt{2}}
  4. 10\sqrt{10}

Answer and explanation

Correct answer: A - \(2\sqrt{2}\)
8 triangles, each with area (1/2)*1*1*sin45 = sqrt(2)/4. Total 8*sqrt(2)/4 = 2sqrt(2).

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