Question

Find the length of an arc with a radius of 10.0 m swept across 100 degrees

Answer 1

Arc is the part of the circle enclosed between the end points of the two radii.

Here the formula used shall be $\frac{\theta}{360}2 \pi r$

Now $\theta = 100^{o}$

$r=10m$

Substituting the values we get

Length of arc

$\frac{\theta}{360}2 \pi r$

$=\frac{\100}{360}2 \pi 10$

= 17.45 m

The length of an arc with a radius of 10.0 m swept across 100 degrees is 17.45 m