A circle with a diameter of 10 inches is spanned by a central angle of radians. What is the length of the subtended arc?

Question

asked Jun 9, 2021 119k views

1 Answer

Dubby · Answer 1 · 2021-06-13T10:05:02+0000

Answer:

Explanation:

We know that the diameter is 10 inches, which means its radius is 5 inches long.

To determined the length of the subtended arc, we use the following equation

$s= \theta r$

Where
is the arc length,
$\theta$ is the angle and
is the radius. Replacing values, we have

$s=5\theta$

Therefore, the length of the arc is fimte times its angle.