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Circumference of the Circle

Question 2If ...

Question

Question 2
If the sum of the circumference of two circles with radii $R_{1}$ and $R_{2}$ is equal to the circumference of a circle of radius R then:
(A) $R_{1} + R_{2} = R$
(B) $R_{1} + R_{2} > R$
(C) $R_{1} + R_{2} < R$
(D) Nothing definite can be said about the relation among $R_{1}, R_{2} a n d R$

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Solution

According to the given condition.

Circumference of circle = Circumference of first circle + Circumference of second circle

$∴ 2 π R = 2 π R_{1} + 2 π R_{2}$

$\Rightarrow R = R_{1} + R_{2}$

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