Question

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given that r = 4.0 cm and Θ = π 3 .

Answer 1

`(4\pi)/(3) cm`

Explanation:

We are given that

Radius,r=4 cm

Angle=
`\theta=(\pi)/(3)`

We have to find the length of arc.

We know that

Length of an arc=
`l=r\theta`

Using the formula

Length of an arc=
`l=4* (\pi)/(3)` cm

Length of an arc,l=
`(4\pi)/(3) cm`