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Circles
RD Sharma
CBSE
Grade 10

Question:

In two concentric circles of radii $10\text{ cm}$ and $6\text{ cm}$, find the length of the chord of the larger circle which touches the smaller circle.

Step-by-Step Solution

Key Concept: Half chord $= \sqrt{10^2 - 6^2} = \sqrt{100 - 36} = 8\text{ cm}$. Full chord $= 2 \times 8 = 16\text{ cm}$.
Half chord $= \sqrt{100 - 36} = 8\text{ cm}$. [1.0 Mark]
Total chord $= 2 \times 8 = 16\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Finding half chord $= 8\text{ cm}$: 1.0 Mark
Evaluating chord length $= 16\text{ cm}$: 1.0 Mark

Correct Answer:
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