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

Answer:

$\frac{4\pi}{3} cm$

Step-by-step explanation:

We are given that

Radius,r=4 cm

Angle=$\theta=\frac{\pi}{3}$

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=$l=4\times \frac{\pi}{3}$ cm

Length of an arc,l=$\frac{4\pi}{3} cm$