Use the given circle. find length s to the nearest tenth. for some reason won’t let me add picture so i will describe “s” is on the outside of the circle, the inside has 5pi/3 and a radius of 6 inches. the answer choices are: a.15.7 b.37.7 c.31.4 d.18.8

s is 31.4 inches.

C is correct options.

Step-by-step explanation:

"s" is the length of arc whose angle at centre is of a circle whose radius is 6 inches.

We need to find length of "s"

Please see the attachment for figure.

Formula:

where, is central angle in radian.

l is length of arc. (l=s)

r is radius of circle. (r=6 in)

Substitute the values into formula and solve for s

Thus, s is 31.4 inches.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.