Multiple choice

Two cirlces touch internally. The sum of their area is 116p cm2 and distance between their centre is 6 cm. Find the sum of their radius-

  1. 16 cm.

  2. 12 cm.

  3. 14 cm.

  4. 17 cm.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For internally tangent circles with radii R and r, we have R² + r² = 116 and R - r = 6. Solving gives R = 10, r = 4, so sum = 14 cm. Option A (16 cm) would satisfy R² + r² = 116 but not R - r = 6.

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