44.1k views
0 votes
Find the length of arc in cm.​

Find the length of arc in cm.​-example-1

2 Answers

4 votes
The ratio of the angle to 360 is the ratio of the length of the arc to the entire circle.
The entire circle has a circumference of 2pir, which is 2 * pi * 3/pi = 6. 120/360 is the ratio, which is 1/3. 6*1/3 = 2.
User Evan Salter
by
8.6k points
4 votes

Answer: 1 cm

Explanation:

To find the length of arc, multiply the fraction of the circle to the Circumference

Looks like:


(part of circle)/(whole circle) (2\pi r)

r=3/
\pi

length =
(120)/(360) (2\pi)(3)/(\pi ) pi's cancel, now reduce

= 2 cm

User Nikz
by
8.9k points