Multiple choice

The area of the square inscribed in a circle of radius 12 cm is/ 12 सेमी त्रिज्या के एक वृत्त में बने वर्ग का क्षेत्रफल है-

  1. 288 cm2

  2. 225 cm2

  3. 256 cm2

  4. 320 cm2

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A Correct answer
Explanation

For a square inscribed in a circle of radius 12 cm, the diagonal of the square equals the diameter of the circle, which is 24 cm. If side is s, then diagonal = s√2, so s = 24/√2 = 12√2 cm. Area = s² = (12√2)² = 144 × 2 = 288 sq cm.