Answer:
214.9°
Step-by-step explanation:
You want to know the angle of rotation that moves a point on a circle of 16 inch radius a distance of 5 feet.
Arc length
The relation between the length of an arc and the central angle in radians is ...
s = rθ
The distance of 5 ft is equal to 60 inches, so we have ...
60 = 16θ
Angle
Solving for θ gives ...
θ = 60/16 = 15/4 . . . . radians
The angle in radians can be converted to an angle in degrees by multiplying it by 180°/π:
15/4 radians = (15/4)·(180°/π) ≈ 214.9°
The wheel turned through an angle of about 214.9°.
