#### 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?

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.