Maximum area of the rectangle inscribed in a circle of radius $10 \mathrm{cms}$ is

Maximum area of the rectangle inscribed in a circle of radius $10 \mathrm{cms}$ is
  1. $100$
  2. $200$
  3. $250$
  4. $150$

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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