Answer:
[tex]10\pi\ cm[/tex] or [tex]31.4\ cm[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=15\ cm[/tex]
substitute
[tex]C=2\pi (15)[/tex]
[tex]C=30\pi\ cm[/tex]
step 2
Remember that the circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find the length of an arc by a central angle of 120 degrees
[tex]\frac{30\pi}{360^o}=\frac{x}{120^o}\\\\x=30\pi(120^o)/360^o\\\\x= 10\pi\ cm[/tex]
The exact value of the length of the arc is [tex]10\pi\ cm[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]10(3.14)=31.4\ cm[/tex] ---> approximate value
Answer:
Step-by-step explanation:
About 31.4 based on the other answers I have seen.
