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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. - 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.
If measure of an arc of a circle is 160° and its length is 44 cm, find the circumference of the circle.
 
  • 66 cm

  •  44 cm

  •  160 cm 

  •  99 cm

Solution

 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.

  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: 1.2 | Page no. 160
Solution 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. Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.
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