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

Choose the Correct Alternative Answer for Each of the Following Questions. (2) If Measure of an Arc of a Circle is 160° and Its Length is 44 Cm, Find the Circumference of the Circle.

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प्रश्न

Choose the correct alternative answer for the following question.
If measure of an arc of a circle is 160° and its length is 44 cm, find the circumference of the circle.
 

पर्याय

  • 66 cm

  •  44 cm

  •  160 cm 

  •  99 cm

MCQ
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उत्तर

 The measure of the arc of a circle, θ = 160º 
Let r be the radius of the circle.
Length of the arc = 44 cm

\[\therefore \frac{\theta}{360°} \times 2\pi r = 44\]
\[ \Rightarrow \frac{160° }{360° } \times 2\pi r = 44\]
\[ \Rightarrow 2\pi r = \frac{44 \times 360° }{160° } = 99 cm\]

Thus, the circumference of the circle is 99 cm.

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

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