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

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

$Length\text{ of Arc =}\frac{\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 = }\frac{137^0}{360^0}\text{ x 2 x }\pi\text{ x 25}$$Length\text{ of arc =}\frac{137^0}{360^0}\text{ x }\frac{50\pi}{1}$$Length\text{ of Arc = }\frac{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}$