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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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 Mathematics 2

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प्रश्न

Choose the correct alternative answer for the following question.
The ratio of circumference and area of a circle is 2:7. Find its circumference.

पर्याय

  • \[14\pi\]

     
  •   \[\frac{7}{\pi}\]

     
  • 7\[\pi\]

  • \[\frac{14}{\pi}\]

     
MCQ

उत्तर

 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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पाठ 7: Mensuration - Problem set 7 [पृष्ठ १६०]

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बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
पाठ 7 Mensuration
Problem set 7 | Q 1.1 | पृष्ठ १६०

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