Question

Help with algebra 2 question.12). In a circle with radius of 18cm, a central angle of 5pi/6 radians intercept an arc. Find length of the arc in cm.

Answer 1

Given:

Radius of circle r is 18 cm.

angle

$\emptyset=\frac{5\pi}{6}=5*\frac{180}{6}=150\degree$

Required:

We need to find the arc length in cm

Explanation:

The formula to find arc length is

$l=2\pi r*\frac{\emptyset}{360}$

Substitute the values in the formula

$l=2*3.14*18*\frac{150}{360}=47.1\text{ cm}$

Final answer:

Arc length of given circle is 47.1 cm