find the length of a 40 degree arc in a circle with a radius of 4. A) 8pi B) 8pi/9 C) 16pi/9 D) 9pi/8

Question

find the length of a 40 degree arc in a circle with a radius of 4.

A) 8pi

B) 8pi/9

C) 16pi/9

D) 9pi/8

Answer 1

B) 8pi/9

a 40 degree arc is 40/360 = 4/36 = 1/9 of the the circumference

the circumference = pi times the diameter = twice pi times the radius = 2pi(4) = 8pi

1/9 of 8pi = 8pi/9