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^{°}and its length is 44 cm, find the circumference of the circle.

#### Options

66 cm

44 cm

160 cm

99 cm

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#### 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.

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