Physics · No topic

To find the angle that a body covers at the center of a circle in three turns, we need to know that one complete turn corresponds to an angle of 2π radians. For three turns, the calculation is:

Angle = 3 turns × 2π radians/turn = 6π radians.

Calculating this gives approximately 18.84 radians, which corresponds to Option D. The other options are incorrect because they do not reflect the correct relationship between turns and radians.

This option suggests that no angle is covered, which is incorrect since the body is completing turns around the circle.

This option underestimates the total angle covered in three turns. Remember, one full turn is 2π radians.

This option is also incorrect. It does not represent the total angle covered in three complete turns.

This is the correct answer. For three complete turns, the angle covered is 3 times 2π, which equals 6π radians, approximately 18.84 radians.