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

Answer 1

C = 2πr,

C - circumference of a circle

r - radius of a circle

r = 1 ← given

Then

C = 2π • 1 = 2π

Writing the fraction:

(π/3)/2π = π/(3•2•π) = 1/6

Answer: 1/6