.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

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

mathstudent55 · Answer

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

anonymous · Answer

Like theta=2pi r? Or something,

anonymous · Answer

@kirbykirby

mathstudent55 · Answer

Yes, but it's C, not theta.
The circumference is 2*pi*r
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mathstudent55 · Answer

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

anonymous · Answer

Uh. 2pi.

mathstudent55 · Answer

Great.

mathstudent55 · Answer

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

anonymous · Answer

mhm.

mathstudent55 · Answer

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

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