Multiple choice

Find the area of a square inscribed in a circle of radius 5 cm. 5 सेमी त्रिज्या वाले वृत्त में खींचे गये वृत्त का क्षेत्रफल ज्ञात कीजिए।

  1. 25 cm2 /सेमी2

  2. 35 cm2 /सेमी2

  3. 50 cm2 /सेमी2

  4. 65 cm2 /सेमी2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When a square is inscribed in a circle, the diagonal of the square equals the diameter of the circle. Circle radius = 5 cm, so diameter = 10 cm. Let square side = s. By Pythagorean theorem, diagonal² = s² + s² = 2s². So s² = diagonal²/2 = 100/2 = 50. Area of square = s² = 50 sq cm. Option C is correct.

Keep practicing — related questions