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NDA2021MathematicsApplication of DerivativesActual

What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?

Options

  1. A4 square units
  2. B6 square units
  3. C8 square units
  4. D16 square units

Correct answer

C. 8 square units

Step-by-step solution

We known that a rectangle inscriped in a circle having maximum area is a square. Here r=2 (given) Hence diagonal of the square is 2 r=4 unit Area will be (4)^2 2 =8 sq. units

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