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COMEDK2019MathematicsArea Under Curves

The maximum area of a rectangle that can be inscribed in a circle of radius 2 units is (in square units)

Options

  1. A4
  2. B8
  3. C8
  4. D5

Correct answer

C. 8

Step-by-step solution

The area of a rectangle that can be inscribed in a circle will have maximum area when it is a square. Let a be the side of square A B C D . Then, aligned A B²+B C² &=A C² a²+a² &=(4)² 2 a² &=16 a² &=8 aligned Area of square is 8 sq units.

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