COMEDK · Maths · 31. Area Under Curves
The maximum area of a rectangle that can be inscribed in a circle of radius 2 units is (in square units)
- A 4
- B \(8 \pi\)
- C 8
- D 5
Answer & Solution
Correct Answer
(C) 8
Step-by-step Solution
Detailed explanation
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, \[ \begin{aligned} A B^{2}+B C^{2} &=A C^{2} \\ a^{2}+a^{2} &=(4)^{2} \\ 2 a^{2} &=16 \\ a^{2} &=8 \end{aligned} \]…
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