Question

Given the circle below what is the length of the radius r to the nearest tenthof an inch? Use 3.14 for rr

Answer 1

r = 3.1 inches

Explanation:

Given that,

Arc, l = 4 inches

Angle,
`\theta=(5\pi)/(12)`

We need to find the value of radius r.

We know that, for a circle,

`\frac{\text{arc}}{\text{circumferance}}=(\theta)/(2\pi)\\\\(4)/(2\pi r)=((5\pi)/(12))/(2\pi)\\\\r=(48)/(5\pi)\\\\=3.1\ in`

S, the radius of the circle is 3.1 inches.