Question

Circle O shown below has a radius of 29 inches. Find, to the nearest tenth of a degree, the measure of the angle, x, that forms an arc whose length is 64 inches.

Answer 1

.Explanation

We are asked to find the measure of the angle that gives an arc length of 64 inches when the radius of the length is 29 inches

To get the answer, we will use the formula:

`l=(\theta)/(360)*2\pi r`

In our case, we have

`\begin{gathered} l=64inches \\ r=29inches \end{gathered}`

Thus

`64=(\theta)/(360)*2*\pi*29`

We will then have

`\begin{gathered} \theta=(64*360)/(2*\pi*29) \\ \\ \end{gathered}`

Thus

`\theta=126.445^0`

Thus, the answer is

`126.4^0`