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3 years ago

A circle has a radius of 9 ft. Find the length of s of the arc intercepted by a central angle of 97 degrees. Do not round any in

termediate computations, and round your answer to the nearest tenth.

Mathematics

1 answer:

Sedaia [141]3 years ago

3 0

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle\ in\\
\qquad degrees\\
------\\
r=9\\
\theta = 97
\end{cases}\implies s=\cfrac{97\cdot \pi \cdot 9}{180}$

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3 years ago

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Though it is not what you have written, we think you want to simplify ...

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_____

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2 years ago

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to see what you can take out of the radical, you can always do a quick "prime factoring" of the values, that way you can break it in factors to see who is what.

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3 years ago