Question

Circle O shown below has a radius of 25 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 137°.

Answer 1

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

`Length\text{ of Arc =}(\theta)/(360^0)\text{ x 2}\pi\text{ r}`
`\begin{gathered} where\text{ }\theta\text{ = 137}^0 \\ radius\text{ = 25 inches} \end{gathered}`
`Length\text{ of arc = }(137^0)/(360^0)\text{ x 2 x }\pi\text{ x 25}`
`Length\text{ of arc =}(137^0)/(360^0)\text{ x }(50\pi)/(1)`
`Length\text{ of Arc = }(21,519.90968)/(360)`
`Length\text{ of Arc = 59.77752688 inches}`
`Length\text{ of Arc }\approx\text{ 59. 8 inches \lparen to the nearest tenth \rparen}`