Question

julian skis on a circular ski trail that has a radius of 0.7 km. imagine an angle with a vertex at the center of the circular trail that subtends the path julian skis.if julian travels 1.96 km clockwise along the ski trail, what is the angle's measure in radians?

Answer 1

To calculate the angle covered in radians, divide the arc length of 1.96 km by the radius of the circular trail, which is 0.7 km, resulting in an angle of approximately 2.8 radians.

Step-by-step explanation:

To find the angle's measure in radians that Julian skis on a circular ski trail with a radius of 0.7 km when he travels 1.96 km along the trail, we use the relationship of angle, radius, and arc length, which is Θ = s / r, where Θ is the angle in radians, s is the arc length, and r is the radius of the circle.

Julian travels an arc length (s) of 1.96 km along a circular path of radius (r) 0.7 km.

Plugging in the values, we get Θ = 1.96 km / 0.7 km.

Hence, the angle in radians that Julian skis is approximately 2.8 radians.