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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. - Geometry

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ConceptProblems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle

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.
  • \[14\pi\]

     
  •   \[\frac{7}{\pi}\]

     
  • 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 =  \[2\pi r = 2\pi \times 7 = 14\pi\]

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 7: Mensuration
Practice set 7.4 | Q: 1.1 | Page no. 160
Solution 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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