What is the length of an arc that has an angle of $100^@$ and radius of $"10.0 m"$ ?

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Answer 1 · 2015-08-28T01:56:14

The "length of an arc" can be found using:

$s = rtheta$

where $s$ is arc length, $r$ is the distance to the axis of revolution, and $theta$ is the angle swept through.

Converting $100^o$ to radians:

$100^o xx (pi "rad")/(180^o) = (5pi)/9 "rad"$

And now just plug it in:

$s = ("10.0 m")((5pi)/9 "rad") = color(blue)((50pi)/9 "m")$

What is the length of an arc that has an angle of 100^@100^@ and radius of "10.0 m""10.0 m"?