Question

.What is the arc length if Θ = 2 pi over 3 and the radius is 4 cm?

8 pi over 3

16 pi over 3

pi over 6

3 pi over 4

Answer 1

Do you kn ow the formula for the circumference of a circle?

Answer 2

Like theta=2pi r? Or something,

Answer 3

@kirbykirby

Answer 4

Yes, but it's C, not theta.
The circumference is 2*pi*r

Answer 5

Ok.
In a circle, there are 360 degrees as a central angle.
How many radians are the in a circle?

Answer 6

Uh. 2pi.

Answer 7

Great.

Answer 8

Correct.
A full circle has 2pi radians as a central angle.

Answer 9

mhm.

Answer 10

That means the circumference of a full circle corresponds to a central angle of 2pi radians.
If you use less than 2pi radians, the circumference will be less than 2pi r