Question

I need to understand this question and what to do please help me understand the review?

Answer 1

Given:

a.) A circle has a radius of 20 cm.

b.) It has a central angle that measures 216 degrees.

Let's draw the figure to better understand the scenario:

For us to be able to determine the arc length, we will be using the following formula:

`\text{ Arc Length = }(\Theta)/(360\degree)2\pi r`

Where,

r = radius of the circle

Θ = central angle

We get,

`\text{ Arc Length = }(216\degree)/(360\degree)2\pi(20)`
`\text{ = }(3)/(5)\text{ \lparen40}\pi)`
`\text{ = }(120)/(5)\pi`
`\text{ Arc Length = 24}\pi\text{ cm or 24\lparen3.14\rparen = 75.36 cm}`

Therefore, the length of the arc is 24π cm or 75.36 cm