The sum of the radii of two circles is 75 cm and difference in their circumferences is 44 cm. The radii of the circles are:

Question

The sum of the radii of two circles is 75 cm and difference in their circumferences is 44 cm. The radii of the circles are:

1. A. 40 cm, 35 cm
2. B. 41 cm, 34 cm (Correct answer)
3. C. 39 cm, 36 cm
4. D. 44 cm, 31 cm

Correct Answer

Option B — 41 cm, 34 cm

Detailed Solution & Explanation

The correct answer is 41 cm, 34 cm.

Key Points

• r₁ + r₂ = 75. Difference in circumferences: 2π(r₁−r₂) = 44 → r₁−r₂ = 44/(2 × 22/7) = 7. Solving: r₁ = (75+7)/2 = 41 cm, r₂ = 34 cm.

प्रश्न (हिन्दी में)

दो वृत्तों की त्रिज्याओं का योग 75 cm है और उनकी परिधि में अंतर 44 cm है। वृत्तों की त्रिज्याएँ हैं:

1. A. 40 cm, 35 cm
2. B. 41 cm, 34 cm
3. C. 39 cm, 36 cm
4. D. 44 cm, 31 cm