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?
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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
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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)
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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.