AP EAMCET · Maths · Application of Derivatives
Maximum area of the rectangle inscribed in a circle of radius \(10 \mathrm{cms}\) is
- A \(100\)
- B \(200\)
- C \(250\)
- D \(150\)
Answer & Solution
Correct Answer
(B) \(200\)
Step-by-step Solution
Detailed explanation
Here ' \(\mathrm{O}\) ' is centre of the circle as well as intersection point of diagonals of the square \(A B C D\). Now from \(\triangle \mathrm{ABC}\) \(a^2+a^2=(20)^2 \Rightarrow 2 a^2=400\) \(\Rightarrow a^2=200\)
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