Multiple choice

The circumference of two circles is 176 cm and 220 cm respectively. There is a square whose side is 36 cm less than sum of the radius of both the circles. Then, find the area of that square (in cm2)? दो वृत्तों की परिधि क्रमशः 176 सेमी और 220 सेमी है। एक वर्ग है जिसकी भुजा दोनों वृत्तों की त्रिज्या के योग से 36 सेमी कम है। तो, उस वर्ग का क्षेत्रफल (से.मी2में) ज्ञात कीजिए?

  1. 841

  2. 784

  3. 676

  4. 729

  5. 525

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Circumference = 2πr, so radius = circumference/(2π). First circle radius = 176/(2π) = 28 cm. Second circle radius = 220/(2π) = 35 cm. Sum of radii = 28 + 35 = 63 cm. Square side = 63 - 36 = 27 cm. Area of square = side² = 27² = 729 cm². Option D is correct. Options A (841), B (784), and C (676) are different areas (29², 28², 26² respectively).