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Mathematics 14 Online
OpenStudy (anonymous):

help plz

OpenStudy (anonymous):

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OpenStudy (anonymous):

A. 28π/9 B. 14π/9 C. 28π/3 D. 14π/3

OpenStudy (ipwnbunnies):

Are you trying to find the arc length?

OpenStudy (anonymous):

Calculate the length of the arc bound by the given central angle.

OpenStudy (ipwnbunnies):

\[arc length = radius*angle\] Where the angle is in radians, not degrees.

OpenStudy (ipwnbunnies):

\[\angle(radians) = \angle(degrees)*\frac{ \pi }{ 180 }\]

OpenStudy (anonymous):

840

OpenStudy (ipwnbunnies):

Err, what? First, convert your angle to radians, keeping the pi. Then, multiply by the radius of the circle.

OpenStudy (anonymous):

140 x 6/180

OpenStudy (ipwnbunnies):

Err, no you mixed up the order. The radius is the distance from the center of a circle to its boundary.

OpenStudy (ipwnbunnies):

\[arc length = 6*140\frac{ \pi }{ 180 }\]

OpenStudy (anonymous):

i got 840

OpenStudy (anonymous):

oh ok my bad

OpenStudy (ipwnbunnies):

Well, I guess the order doesn't matter since multiplication is associative, but that isn't correct.

OpenStudy (ipwnbunnies):

Simplify the \[\frac{ 140\pi }{ 180 }\] to its simpliest form. Then multiply the 6 in the numerator.

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