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