Points A and B lie on a circle with radius 1, and arc AB has length pi/3. What fraction of the circumference of the circle is the length of arc AB?

Question

This is an SAT no calculator section question. Can someone please show how this is solved. Thank you.

23277 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-13T13:03:17

#"arc"_(AB)=1/6 "circumference"#

The circumference of a circle with radius#r= 1#
has a length #C_1=2rpi=2pi#

An arc length of #pi/3#
represents #(pi/3)/(2pi)=(1/3)/2+1/6# of this circumference