Question

Circle O has a arc length 34 inches sub tended by an angle of 78 degrees. Find the length of the radius, x, to the nearest tenth of an inch

Answer 1

Answer: 25 in.

Explanation:

Given

Arc length is 34 inches

The angle subtended by the arc is
`78^(\circ)`

arc length l subtending an angle
`\theta` is given by

`\Rightarrow l=(\theta )/(360^(\circ))* 2\pi R`

Put the values

`\Rightarrow 34=(78^(\circ))/(360^(\circ))* 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.`