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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 Red307 CmThe Length Of The Arc Iscm class=

Sagot :

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,

[tex]l=\frac{\theta}{360}\cdot2\pi\text{ r.}[/tex]

Now, substitue the given values in the above formula.

[tex]\begin{gathered} l=\frac{30}{360}\cdot2\cdot\pi\cdot7 \\ =\frac{1}{12}\cdot14\pi \\ =3.7\text{ cm.} \end{gathered}[/tex]

Hence, the length of the arc is 3.7 cm.

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