922 PM imathasrationalreasoningnet 00 TFw A racecar starts a

9:22 PM imathas.rationalreasoning.net 00 TFw A race-car starts at the 3 o\'clock position and drives counterclockwise on a circular track with a radius 2.7 miles a. What distance (in miles) has the race-car traveled if the angle swept out by the race-car is 3.7 radians? 2.7 3.7 milesPreview b. What is the angle measure (in radians) swept out if the race-car has traveled 8.1 miles? 8.1/2.7 radians Preview c. What does it mean for the angle measure to be greater than 2 radians? The car is back at the 3 o\'clock position of the race track The car is below the horizontal diameter of the race track You cannot have an angle measure greater than 2 radians The car has gone around the track more than once

Solution

the angle at the center = arc / radius = 6.9/ 2.7

horizontal distance = 2.7 cos ( 6.9/2.7)

= -2.2494

miles to the right of the center of the track is 2.7 - 2.7 cos (6.9/2.7)

= 4.9494 miles