Question

Tyler and Jordan are partners in a relay race on a curved track with a radius of 25 meters. If Jordan's location on the track is 153 degrees away from tyler's, how much distance is between them on the track?

Answer 1

To find the distance between Tyler and Jordan on the curved track, we need to calculate the arc length of the track using the given angle and radius.

Step-by-step explanation:

To find the distance between Tyler and Jordan on the track, we need to calculate the arc length of the curved portion of the track.

First, we need to convert the angle measure from degrees to radians. Since there are 360 degrees in a circle, 153 degrees is equivalent to (153/360) * 2π radians.

The arc length formula is given by s = rθ, where s is the distance, r is the radius, and θ is the angle in radians.

Plugging in the values, we get s = (25 m) * ((153/360) * 2π).

Calculating this expression gives us the distance between Tyler and Jordan on the track.