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Mathematics 20 Online
OpenStudy (anonymous):

A circle has a radius that is 3 centimeters long. If a central angle has a measure of 2 radians, what is the length of the arc that corresponds to the angle?

OpenStudy (mertsj):

If the angle is 1 radian, the arc is 1 radius. If the angle is 2 radians, the arc is 2 radii.

OpenStudy (anonymous):

@Mertsj so it would be 2 centimeters ?

OpenStudy (mertsj):

What is the radius?

OpenStudy (anonymous):

3

OpenStudy (mertsj):

If the angle is 1 radian, then the arc is the radius which is 3

OpenStudy (mertsj):

If the angle is 2 radians, then the arc is 2 radii which is 2(3)

OpenStudy (anonymous):

i'm terribly sorry but i'm not quit understanding :( here are the possible answers. a- 6 cem b-3 cem c- 2 cem d- 12 cem

OpenStudy (mertsj):

The equation is: \[s=r \theta \] where s is the length of the arc, r is the radius and theta is the angle in radians.

OpenStudy (mertsj):

Well what is 2(3)????????

OpenStudy (mertsj):

If the angle is 2 radians, then the arc is 2 radii which is 2(3)

OpenStudy (anonymous):

ohh so 6

OpenStudy (anonymous):

thank you for you're help !

OpenStudy (mertsj):

I think you meant "your" since you're means you are. And you are welcome.

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