Answered

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Find the length of an arc of a circle whose central angle is 212º and radius is 5.3 inches.Round your answer to the nearest tenth.

Sagot :

The formula for the arc length is,

[tex]L=2\pi r\cdot\frac{\theta}{360}[/tex]

Substitute the values in the formula to determine the arc length.

[tex]\begin{gathered} L=2\pi\cdot5.3\cdot\frac{212}{360} \\ =19.61 \\ \approx19.6 \end{gathered}[/tex]

So answer is 19.6 inches.

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