Question

A toy car races along a circular track and is constantly 4 feet from the center of the race track. Imagine an angle with a vertex at the center of the race track that subtends the car's path. If the racecar travels 2.4 feet in the counterclockwise direction along the track, what is the angle's measure in radians?

Answer 1

The angle's measure in radians is 0.6 radians.

Step-by-step explanation:

To find the angle's measure in radians, we can use the arc length formula. The arc length is given as 2.4 feet and the radius is given as 4 feet. The formula to find the angle in radians is: θ = s / r, where θ is the angle, s is the arc length, and r is the radius. Plugging in the values: θ = 2.4 / 4 = 0.6 radians. Therefore, the angle's measure is 0.6 radians.