Question

Circle O shown below has an are of length 6 inches subtended by an angle of 113°Find the length of the radius, x, to the nearest tenth of an inch.

Answer 1

Given the circle O

As shown, there is an arc of length 6 inches subtended by an angle of 113°

The radius of the circle = x

The length of the arc is given by the following formula:

`arc\text{ }length=(\theta *(\pi)/(180))*r`

substitute with the given data: r = x, and length = 6, and θ = 113

`\begin{gathered} 113*(\pi)/(180)*x=6 \\ \\ x=(6*180)/(113*\pi)=3.04225 \end{gathered}`

Rounding to the nearest tenth

so, the answer will be x = 3 inches