A circle has a circumference of 6. It has an arc of length 1. What is the central angle of the arc, in degrees?

60 degrees

Step-by-step explanation:

s = r (theta)

(theta) = s/r

= 1 / (3/π) = π/3

as a degree π/3 x 180/π = 60

60 degrees

*Circumference = 2πr

6 = 2πr

r = 6/2π = 3/π

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.