Four angles are shown below. Recall that an angle completing a full rotation measures 2π radians.

Angle A represents __ of a full rotation.
Therefore, Angle A has a measure of_  radians.

Angle B represents_  of a full rotation.
Therefore, Angle B has a measure of  radians.

Angle C represents  of a full rotation.
Therefore, Angle C has a measure of  _radians.

Angle D represents___  of a full rotation.
Therefore, Angle D has a measure of  _radians.

Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of 6π/4.

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-05-07T17:45:40+02:00

The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

What is an angle?

The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.

From the figure attached:

Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.

Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.

Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.

Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.

Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

Learn more about the angle here:

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