Multiple choice

If the area of the in-circle of a square is 16π cm.2, then what will be the area of the square? यदि एक वर्ग के अंतःवृत्त का क्षेत्रफल 16π सेमी.2 है, तो वर्ग का क्षेत्रफल क्या होगा ?

  1. 64 cm.2/सेमी.2

  2. 81 cm.2/सेमी.2

  3. 100 cm.2/सेमी.2

  4. 36 cm.2/सेमी.2
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A Correct answer
Explanation

Area of incircle = 16π = πr², so radius r = 4 cm. For a square, the incircle touches all four sides, meaning the diameter equals the side length. Therefore, square side = 2r = 8 cm. Area of square = side² = 8² = 64 cm². The relationship between incircle radius and square side is the key insight.

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