Ask
your own question, for FREE!
Mathematics
51 Online
Find the length of the arc of a circle whose radius is 6 and whose central angle is 10 degrees Find the length of the arc of a circle whose radius is 6 and whose central angle is 10 degrees @Mathematics
Still Need Help?
Join the QuestionCove community and study together with friends!
\[s = r \theta\] where theta is in radians. Since you have degrees you have to turn it into radians. So to do that you do this \[10 * \frac{\pi}{180}\] or \[\frac{\pi}{18}\] Now all you do is plug in the values \[s = (6)(\frac{\pi}{18})\] Which simplifies down to \[s = \frac{\pi}{3}\] If you want a decimal number then just plug pi/3 in a calculator.
Or you can set up a ratio. Arc distance(s):Circumference(C):: 10 degrees:360 degrees s:C::10:360 C=2piR=12pi 360s=120pi s=(120/360)pi s=(1/3) pi or pi/3
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
LightShadow:
I have a science test on rocks and minerals tommorow, and idk how to remember roc
willowjade:
had to write an essay on something that upset you so used something that just happened to me: any time I care about someone.
Cloud4444:
I love hearing your lies tell more I don't like u, I don't love u, I don't trust
gelphielvr:
(algebra 1) finding an x-value using x+y = a (question in the replies)
Yosad930:
quick question: why are most of the posts in the "open posts" unreplyable and old
breiadabrattzz:
One day I became the coal to his emotions I used to look at the waves from the oc
ShadowKid3:
I have a question about basic "rules" of art and want to know what tips or "rules" and such I can use to make my drawings better, thank you.
Strawberriesrgud7:
Second poem I post on here! Hope I did better than last time! -------------------
Graysonunderwoods:
"When children are young, they're told not to talk to strangers, and when they go
33 minutes ago
14 Replies
0 Medals
40 minutes ago
8 Replies
0 Medals
1 hour ago
8 Replies
0 Medals
6 hours ago
25 Replies
4 Medals
10 hours ago
3 Replies
3 Medals
8 hours ago
12 Replies
3 Medals
11 hours ago
5 Replies
0 Medals
8 hours ago
10 Replies
6 Medals
1 day ago
2 Replies
0 Medals