Answer:
Your answer is [tex]\frac{7\pi}{20}[/tex].
If you prefer an answer rounded to nearest hundredths you would have 1.10 or just 1.1.
Step-by-step explanation:
The formula for finding the arc length s is given by:
[tex]s=r \cdot \frac{\theta \pi}{180^\circ}[/tex]
where [tex]\theta[/tex] is in degrees.
Plug in 3 for r and 21 for [tex]theta[/tex]:
[tex]s=3 \cdot \frac{21 \pi}{180}[/tex]
I'm going to reduce 21/180 by dividing top and bottom by 3:
[tex]s=3 \cdot \frac{7 \pi}{60}{/tex]
I'm going to multiply 3 and 7:
[tex]s=\frac{21 \pi}{60}[/tex]
I'm going to reduce 21/60 by dividing top and bottom by 3:
[tex]s=\frac{7\pi}{20}[/tex]
Your answer is [tex]\frac{7\pi}{20}[/tex].
If you prefer an answer rounded to nearest hundredths you would have 1.10 or just 1.1.
