In two concentric circles, a chord of length 24 cm of the larger circle is a tangent to the smaller circle whose…

CBSE Class 10 Maths PYQ · Circles · Concentric Circles · 3 Marks · March 2025 · Standard

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783 Marks · March 2025 · Standard

In two concentric circles, a chord of length $24$ cm of the larger circle is a tangent to the smaller circle whose radius is $5$ cm. Find the radius of the larger circle.

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Let the radius of larger circle be $R$. $\angle S = 90^\circ$. $PS = \frac{24}{2} = 12$ cm. $12^2 + 5^2 = R^2 \implies R = 13$ cm