#### Question

Choose the correct alternative answer for the following question.

The ratio of circumference and area of a circle is 2:7. Find its circumference.

##### Options

\[14\pi\]

\[\frac{7}{\pi}\]

7\[\pi\]

\[\frac{14}{\pi}\]

#### Solution

Let r be the radius of the circle.

Circumference of the circle : Area of the circle = 2 : 7

\[\Rightarrow \frac{2\pi r}{\pi r^2} = \frac{2}{7}\]

\[ \Rightarrow \frac{1}{r} = \frac{1}{7}\]

\[ \Rightarrow r = 7\]

∴ Circumference of the circle = \[2\pi r = 2\pi \times 7 = 14\pi\]

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Choose the Correct Alternative Answer for the Following Question. the Ratio of Circumference and Area of a Circle is 2:7. Find Its Circumference. Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.

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