Question

16.4
19.6
10.6
21.2
question 45

Answer 1

Answer: FIRST OPTION

Explanation:

You need the formula for calculate the arc lenght:

`arc\ length=2\pi r((C)/(360))`

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

You know that the radius is:

`r=7.5`

And the central angle ∠CAT is:

`C=\angle CAT=125\°`

Then, you need to substitute these values into the formula
`arc\ length=2\pi r((C)/(360))` to calculate the length of CT.

Then, this is:

`arc\ length=CT=2\pi (7.5)((125\°)/(360))`

`arc\ length=CT=16.4`