An object is moving in a circular path with a radius of 4.00 m.If the object moves through an angle of 45.0 degrees,then the angle is
A) 0.25 radians.
B) 0.53 radians.
C) 0.79 radians.
D) 1.02 radians.
E) 1.44 radians.

Question

Quizplus · Accepted Answer

The angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle.

In this case, the arc length is the fraction of the circumference that the object has moved through, which is 45/360 = 1/8 of the circle's circumference. The circumference of the circle is 2πr, so the arc length is (1/8)(2π4) = π/4 meters.

Thus, the angle in radians is θ = (π/4)/4 = π/16 radians, which is approximately 0.79 radians.

Therefore, the best choice is C) 0.79 radians.

An Object Is Moving in a Circular Path with a Radius