Measuring Angles & Co-terminal Angles

What is a coterminal angle?

• An angle that shares the same terminal side as another angle, differing by a multiple of 360° or 2π radians.

• An angle that is exactly 90° greater than another angle.

• An angle that is always less than 180°.

• An angle that is formed by rotating a line segment around a point.

Find an angle coterminal with an angle which measures 11π / 3.

• 17π / 3

• 14π / 3

• 10π / 3

• 20π / 3

Convert π radians to degrees.

• 90°

• 180°

• 270°

• 360°

What is the relationship between a full rotation and radians?

• A full rotation is π radians.

• A full rotation is 2π radians.

• A full rotation is 3π radians.

• A full rotation is 4π radians.

Convert -40° into Radians.

• -2π / 9

• -π / 4

• -π / 6

• -3π / 8

What is the range of a standard angle in radians?

• 0 to 2π

• 0 to π

• 0 to 360°

• 0 to 90°

How do you convert radians to degrees?

• Multiply the radian measure by 180/π.

• Add 180 to the radian measure.

• Divide the radian measure by π/180.

• Multiply the radian measure by π/180.

Find an angle coterminal with an angle measuring 17π / 4 radians.

• π / 4

• 3π / 4

• 5π / 4

• 7π / 4

What are the negative and positive coterminal angles of -225 degrees?

• 135°

• -585°

• -225°

• 45°

If an angle measures -30°, what is a positive coterminal angle?

• 150°

• 210°

• 330°

• 390°