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 π. A. 6π/5kmB. 6 kmC. 12π/5kmD. 2π km

Answer 1

Given:

The radius of the circle = 2.4 kilometers

The measure of the arc = 150°

The length of the arc is given by the formula:

$A=\theta\cdot r$

Note: we will convert the angle from degrees to radian

So, the length of the arc =

$(150\cdot\frac{\pi}{180})\cdot2.4=\frac{150}{180}\cdot2.4\cdot\pi=2\pi$

So, the answer will be option D. 2π km