Angles in Degrees

The _______________ of an angle is therefore the "ending side".

• terminal side

• initial side

• vertex

• bisector

The measure of an angle is the number that describes the amount of rotation from the initial side to the terminal side of the angle. _______________ are generated by counterclockwise rotations and _______________ are generated by clockwise rotations.

• Positive angles, negative angles

• Negative angles, positive angles

• Acute angles, obtuse angles

• Reflex angles, right angles

State if the given angles are coterminal: 80°, -640°.

• Yes, they are coterminal.

• No, they are not coterminal.

The length of an arc is a portion of the circumference. Arc Length Formula: ________ (x = degree measure of arc, C = circumference)

• Arc Length = (x/360) × C

• Arc Length = (360/x) × C

• Arc Length = (x × C)/180

• Arc Length = (C/360) × x

Find the length of the bolded arc.

Find the length of each bolded arc. Round to the nearest hundredth. 1. Circle with radius 7.5 in and arc of 35°. What is the length of the bolded arc?

• 4.58 in

• 3.21 in

• 6.12 in

• 5.75 in

Draw an angle with the given measure in standard position.

• An angle drawn with its vertex at the origin and initial side along the positive x-axis

• An angle drawn with its vertex at any point and initial side along the y-axis

• An angle drawn with its vertex at the origin and initial side along the negative x-axis

• An angle drawn with its vertex at any point and initial side along the positive y-axis

Find a positive and a negative coterminal angle for each given angle. 22) -620°

• Positive coterminal angle: 100°, Negative coterminal angle: -620°

• Positive coterminal angle: 80°, Negative coterminal angle: -700°

• Positive coterminal angle: 140°, Negative coterminal angle: -460°

• Positive coterminal angle: 40°, Negative coterminal angle: -580°

Find the length of each arc.

Evaluate responses using AI:

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Find the length of each arc. 30) r = 11 ft, θ = 210°

• Arc length = (210/360) × 2π × 11 = (7/12) × 2π × 11 = (77/12)π ft ≈ 20.17 ft

• Arc length = (210/180) × π × 11 = (7/6) × π × 11 = (77/6)π ft ≈ 40.33 ft

• Arc length = (210/360) × π × 11 = (7/12) × π × 11 = (77/12) ft ≈ 6.42 ft

• Arc length = (210/360) × 2π × 11 = (7/12) × 2π × 11 = (154/12)π ft ≈ 40.33 ft