Question

an angle measures 2.2 radians and the initial ray of the angle points in the 3-o'clock direction. a circle with a radius 3.5 cm long is centered at the angle's vertex.the terminal point is how many radii to the right of the circle's center?

Answer 1

The terminal point is approximately 6.97 cm to the right of the circle's center.

Step-by-step explanation:

The angle measures 2.2 radians and the initial ray points in the 3-o'clock direction.

Since one complete revolution is 2π radians, we can find the fraction of the revolution that is 2.2 radians:

θ = 2.2 radians / 2π radians ≈ 0.35 revolution.

To find the terminal point, we can multiply the fraction of the revolution by the circumference of the circle:

Terminal point = 0.35 revolutions * (2π * 3.5 cm) ≈ 6.97 cm

The terminal point is approximately 6.97 cm to the right of the circle's center.