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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Application of Derivatives

NDA 2021 · Mathematics · Application of Derivatives

What is the maximum area of a rectangle that can be inscribed in a...

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=2r=2 (given) Hence diagonal of the square is 2r=42 r=4 unit Area will be (4)22=8\frac{(4)^2}{2}=8 sq. units
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