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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?

Verified Answer :

hte measure of the Length is given by the formula
L= R x teta

so L= 3x2=6 radians.cm

Answer:

\(6\ cm\)

Step-by-step explanation:

we know that

The formula to calculate the length of the arc is equal to

\(L=r\theta\)

where

r is the radius

\(\theta\) is the central angle in radians

In this problem we have

\(\theta=2\ radians\)

\(r=3\ cm\)

Substitute the values

\(L=3*2=6\ cm\)