Multiple choice

A square is inscribed in a circle of radius $7$cm. Find the maximum area of the square.

  1. $98$
  2. $89$
  3. $86$
  4. $96$
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A Correct answer
Explanation

A square inscribed in a circle has a diagonal equal to the diameter of the circle. Diameter = 14 cm. Area of square = 1/2 * d^2 = 1/2 * 14^2 = 1/2 * 196 = 98.

AI explanation

For a square inscribed in a circle, the diagonal of the square equals the diameter of the circle. The diameter is 2 times 7, which is 14 cm. The area of the square is half the square of its diagonal, so the area is 0.5 times 14 times 14. This calculates to 98 square cm.

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