Question

Stephen is skiing on a circular ski trail that has a radius 0.9 km long. stephen starts at the 3 -o'clock position (the easternmost point on the trail) and travels 2.35 km in a counterclockwise direction.

Imagine an angle with its vertex at the center of the circular trail that subtends the path stephen skis.

Answer 1

To find the angle that the student skis, we can use the formula for the length of an arc of a circle. The length of the arc is equal to the radius of the circle multiplied by the angle in radians.

Step-by-step explanation:

To find the angle that the student skis, we can use the formula for the length of an arc of a circle. The length of the arc is equal to the radius of the circle multiplied by the angle in radians. In this case, the radius is 0.9 km and the length of the arc is 2.35 km. Therefore, the angle is equal to the length of the arc divided by the radius, or 2.35 km / 0.9 km = 2.6111 radians.