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What is the length of the arc shown in red?30°7 cmThe length of the arc iscm.

What is the length of the arc shown in red?30°7 cmThe length of the arc iscm.-example-1

1 Answer

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Given:

Radius of circle is, r = 7 cm.

Tthe angle of arc at the center is θ = 30°.

The objective is to find the length of the arc.

The formula to find the length of the arc is,


l=(\theta)/(360)\cdot2\pi\text{ r.}

Now, substitue the given values in the above formula.


\begin{gathered} l=(30)/(360)\cdot2\cdot\pi\cdot7 \\ =(1)/(12)\cdot14\pi \\ =3.7\text{ cm.} \end{gathered}

Hence, the length of the arc is 3.7 cm.

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