Question

On a circle of radius 3.4 inches, find the length of

anarc, within 0.1 inches subtended by a central angle

of120o.

Answer 1

7.12 in

Explanation:

We are given that

Radius of circle=3.4 in

Central angle=
`\theta=120^(\circ)`

We have to find the length of an arc.

Length of an arc=
`(\theta)/(360)* 2\pi r`

Where
`\theta=`Central angle

`\pi=3.14`

Using the formula

Length of an arc=
`(120)/(360)* 2* 3.14* 3.4`

Length of an arc=7.12 in

Hence, the length of an arc=7.12 in