Multiple choice

A square is inscribed in a circle of radius 12 cm .Find the area of the square ?( in cm2 )

  1. 576

  2. 266

  3. 288

  4. 144
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a square inscribed in a circle, the diagonal of the square equals the diameter of the circle. Diameter = 24 cm, so diagonal = 24. If side = s, then s√2 = 24, so s = 24/√2 = 12√2. Area = s^2 = (12√2)^2 = 288 cm^2.

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