Question

Circle O shown below has an arc of length 29 inches subtended by an angle of 2.6radians. Find the length of the radius, x, to the nearest tenth of an inch.

Answer 1

Solution

Note: Formula to use

From the question, we have

s = 29 inches

r = ?

theta = 2.6 rad

$\begin{gathered} s=r\theta \\ 29=r(2.6) \\ r=\frac{29}{2.6} \\ r=11.15384615 \\ r=11.2inches \end{gathered}$

Therefore,

$x=11.2inches$