Question

One revolution is equal to how many radians? Degrees?

a) ( 2pi ) radians, ( 360^circ )

b) ( pi ) radians, ( 180^circ )

c) ( frac{pi}{2} ) radians, ( 90^circ )

d) ( frac{pi}{4} ) radians, ( 45^circ )

Answer 1

One revolution equals 2π radians or 360 degrees, which corresponds to one complete circular rotation.

Step-by-step explanation:

One revolution is equal to 2π radians or 360 degrees. This means that when an object makes one complete turn and returns to its original position, it has rotated through an angle corresponding to 2π radians.

Since the circumference of a circle is 2πr, where r is the radius, the connection between the linear distance around the circle and the angle of rotation is direct, hence defining a radian.

Therefore, option a) (2π radians, 360°) is the correct answer to the question.