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Question 184
The difference between the circumferences of two circles is 132 cms. and the radius of smaller circle 14 cms. What is the radius of larger circle ?
Solution
Let the radius of the larger circle be $$R$$ and the radius of smaller circle be $$r$$.
Given $$r=14.$$
$$2\pi R - 2\pi r = 132$$
$$2\pi\left(R-r \right)=132$$
$$\pi\left(R-r \right)=66$$
Consider $$\pi = \frac{22}{7}$$.
$$R-14 = \frac{66\times7}{22}=21$$
$$R=21+14=35cms$$.
Hence Option E is the correct answer.
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