Question

Circle O shown below has an arc of length 50 inches subtended by an angle of 2 radians. Find the length of the radius, x,to the nearest tenth of an inch.

Answer 1

To answer this question we will use the following formula to compute the arc length of an arc subtended by an angle of b radians on a circle with radius x:

`ArcLength=bx.`

Then, if the arc length of a central angle of 2radians is 50in, then we can set the following equation:

`50in=2x.`

Dividing the above equation by 2 we get:

`\begin{gathered} (50in)/(2)=(2x)/(2), \\ x=25in. \end{gathered}`

Answer: x=25in.