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=(5\pi)/(6)=5*(180)/(6)=150\degree`

Required:

We need to find the arc length in cm

Step-by-step explanation:

The formula to find arc length is

`l=2\pi r*(\emptyset)/(360)`

Substitute the values in the formula

`l=2*3.14*18*(150)/(360)=47.1\text{ cm}`

Final answer:

Arc length of given circle is 47.1 cm