Question

Circle O shown below has a radius of 13 inches. To the nearest tenth of an inch,

determine the length of the arc, x, subtended by an angle of 2.4 radians.
13 inches
0=2.4 rad​

Answer 1

`L=31.2\ in`

Explanation:

Length of an arc of a circle

The arc of a circle is a portion of the circumference of a circle. If the circle has a radius r and subtends an angle θ (in radians) with the circle center, then the arc length is

`L=\theta\cdot r`

We are given the values

`\theta=2.4\ radians`

`r=13\ in`

We compute the arc length

`L=2.4\cdot 13`

`\boxed{L=31.2\ in}`