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In a circle with a radius of 4 centimeters, what is the length of an arc intercepted by a central angle of 2.5 radians?A. 18 cmB. 16 cmC. 10 cmD. 9 cm

User Misolo
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1 Answer

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Given the radius of the circle = 4 cm.

The arc is intercepted by a central angle of 2.5 radians.

So,


\begin{gathered} r=4\operatorname{cm} \\ \theta=2.5\text{ rad.} \end{gathered}

The length of the arc is given by the formula:


A=\theta\cdot r

Substitute with the given values;


A=2.5\cdot4=10\operatorname{cm}

So, the answer will be option C. 10 cm

User Baum Mit Augen
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