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If rotation is clockwise, what type of angle is formed?

Answer and explanation

Correct answer: Negative angle

The governing convention for directed angles is that counterclockwise rotation is positive and clockwise rotation is negative. This sign describes the direction of rotation, not the size of the angle. Thus, any clockwise turn—whether it is 30°, 90°, 180°, or more—is represented by a negative directed angle, so option B is correct. An acute angle is determined by a magnitude below 90°, and an obtuse angle by a magnitude between 90° and 180°; neither description tells us the sign of the rotation. Option A applies to counterclockwise motion under the standard convention. Therefore the direction word “clockwise” directly identifies a negative angle.

Related tags

TrigonometryAnglesDirected-AngleRotationTrigonometric FunctionsMathematicsClass 12 Mcq

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