Maximum area of the rectangle inscribed in a circle of radius $10 \mathrm{cms}$ is
- $100$
- $200$
- $250$
- $150$
Solution

Here ' $\mathrm{O}$ ' is centre of the circle as well as intersection point of diagonals of the square $A B C D$. Now from $\triangle \mathrm{ABC}$ $a^2+a^2=(20)^2 \Rightarrow 2 a^2=400$ $\Rightarrow a^2=200$
Asked in: AP EAMCET 2022 (08 Jul Shift 1)
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