Question

Find the length of the arc on a circle with a radius of 2.4 kilometers and is intercepted by a central angle measuring 150°. Leave your answer in terms of n. 12

Answer 1

The rule of the length of the arc is

`L=(x)/(360)*2*\pi* r`

Where x is the central angle of the arc

The angle of the arc is 150 degrees

x = 150

The radius of the arc is 2.4 km

r = 2.4

Substitute them in the rule

`\begin{gathered} L=(150)/(360)*2*\pi*2.4 \\ L=2\pi \end{gathered}`

The length of the arc is 2pi