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Circles
RD Sharma
CBSE
Grade 10

Question:

From a point $Q$, the length of the tangent to a circle is $24\text{ cm}$ and the distance of $Q$ from the centre is $25\text{ cm}$. The radius of the circle is:
(a) $7\text{ cm}$
(b) $12\text{ cm}$
(c) $15\text{ cm}$
(d) $24.5\text{ cm}$

Step-by-Step Solution

Key Concept: $r = \sqrt{25^2 - 24^2} = \sqrt{625 - 576} = \sqrt{49} = 7\text{ cm}$.
$r = \sqrt{625 - 576} = \sqrt{49} = 7\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Calculating radius $= 7\text{ cm}$: 1.0 Mark

Correct Answer: $7\text{ cm}$
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