Question

of radius 54 meters subtended by the central angle 1/9 radian.
s(arc length = meters

How is the answer 6?

s denotes the lenght of the arc of a circle of radius r subtended by the central angle 0. Find the missing quantity.
The radius r of the circle is ? feet

How is 24 the answer?

Answer 1

The length of an arc equals the radius times the angle in radians.
That is because the number of radians in a circle is defined to be 2 pi.

54 x (1/9) = 6

Your second question is incomplete. You need to know the central angle and arc length to compute the radius. I assume that your 0 is supposed to be Greek theta, not zero.

Answer 2

Thanks and yes it's suppose to be a Greek theta.