Explanation:
a1) Through how many radians does Jamie turn in 99 minutes?
One revolution is equal to 2 * pi radians, so 1.08 revolutions is equal to 1.08 * 2 * pi radians.
In 99 minutes, the restaurant rotates for 99 / 60 = 1.65 hours.
Therefore, the angle Jamie turns through in 99 minutes is 1.65 * 1.08 * 2 * pi radians.
a2) Exact answer:
angle = 1.65 * 1.08 * 2 * pi radians
b1) Approximate answer (rounded to 3 decimal places):
angle = 11.045 radians
b2) How far does Jamie move in 99 minutes?
The distance Jamie moves can be calculated using the formula:
distance = angle * radius
where radius is Jamie's distance from the center of the restaurant, which is 22.2 meters.
b2) Exact answer:
distance = 11.045 * 22.2 meters
b2) Approximate answer (rounded to 1 decimal place):
distance = 245.3 meters