Question

A circle has a radius of 3. An arc in this circle has a central angle of 20°.

What is the length of the arc?
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal​

Answer 1

360 degrees in 1 circle

the circumference is same ratio

60/360=1/6

1/6 of circumference is the legnth of the arc

radius=3

c=2pir

c=2pi3

c=6pi

1/6 of 6pi is pi

the arc is pi units long