Question

Will give medal~
Okay, I don't know how to find a central angle of a circle.

The question just says to find the "measure of a central angle in degrees," any angle I guess, and then to find it in radians.

I know the circle has a diameter of 150.
I've got the circumference:
C = 2πr
C = 2π75
C = π150
C = 471.238898038
C ≈ 471.24

And the area:
A = πr^2
A = π75^2
A = π5624
A = 17671.4586764
A ≈ 17671.46

The circle is actually supposed to be a ferris wheel with 28 cars evenly spaced out around it, so I'm guessing the angle should be from one point (car) to another...

Answer 1

If "The circle is actually supposed to be a ferris wheel with 28 cars evenly spaced out around it," then the "central angle" for each car is simply 360 degrees divided by 28, or 2pi radians devide3d by 28. Central angles are typically given in radians, since the formula for arc length requires that measure of the central angle).

Answer 2

So then, the answer would be
360/28 = 12.86 degrees
And then 2pi/28 = 0.22 radians
is it that simple?