A square with maximum possible side is drawn in a circle of radius 12 cm. What is the area of square?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 288.sq. cm
When a square is inscribed in a circle then the diagonal of the square is equal to the diameter of the circle.
⇒ Diagonal = 2r = 2 × 12 = 24 cm
⇒ Diagonal2 = 2 × side2
⇒ 242 = 2 × side2
⇒ side2 = 288 cm2 = area of the square