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Areas Related to Circles
RD Sharma
CBSE
Grade 10

Question:

The radii of two circles are $8\text{ cm}$ and $6\text{ cm}$ respectively. The radius of the circle having area equal to the sum of areas of two circles is:
(a) $10\text{ cm}$
(b) $14\text{ cm}$
(c) $12\text{ cm}$
(d) $20\text{ cm}$

Step-by-Step Solution

Key Concept: $R = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10\text{ cm}$.
$R = \sqrt{64 + 36} = 10\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Calculating radius $= 10\text{ cm}$: 1.0 Mark

Correct Answer: $10\text{ cm}$
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