Question

PLEASE HELP ME WITH THIS MATH QUESTION

Answer 1

`m(RS)=17` inches (answer rounded to nearest tenths)

Explanation:

Central angle there is 150 degrees.

The radius is 6.48 inches.

The formula for finding the arc length, RS, is

`m(RS)=\theta \cdot r`

where
`r` is the radius and
`\theta` ( in radians ) is the central angle.

I had to convert 150 degrees to radians which is
`(150\pi)/(180)` since
`\pi \text{rad}=180^o`.

`m(RS)=(150\pi)/(180) \cdot 6.48`

`m(RS)=16.96` inches

Answer 2

Answer:
`17\ in`

Explanation:

You need to use the following formula for calculate the Arc Lenght:

`Arc\ Length=2(3.14)(r)((C)/(360))`

Where "r" is the radius and "C" is the central angle of the arc in degrees.

You can identify in the figure that:

`r=6.48\ in\\C=150\°`

Then, you can substitute values into the formula:

`Arc\ Length=Arc\ RS=2(3.14)(6.48\ in)((150\°)/(360))\\\\Arc\ RS=16.95\ in`

Rounded to the nearest tenth, you get:

`Arc\ RS=17\ in`