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Question
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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