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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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.

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5