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Areas Related to Circles

NCERT Exemplar

CBSE

Grade 10

Question:

If the radius of a circle is doubled, its area becomes:
(a) 2 times
(b) 4 times
(c) 8 times
(d) 16 times

Step-by-Step Solution

Key Concept: Area $A = \pi r^2$. New area $A' = \pi (2r)^2 = 4 \pi r^2 = 4 A$.

$A' = \pi (2r)^2 = 4 \pi r^2 = 4A$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating area ratio $= 4$: 1.0 Mark

Correct Answer: 4 times

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