Unit 6 Day 2 - Radians

Radian and Degree Measure

Multiple Choice

Standard position is when________ and the vertex is at the origin.

• the initial side of the angle is on the positive x-axis.
• the initial side of the angle is on the negative x-axis.
• the initial side of the angle is on the positive y-axis.
• the initial side of the angle is on the negative y-axis.

Multiple Choice

What is the relationship between arc length and radius when the angle is 1 radian?

• Arc length is equal to the radius

• Arc length is half the radius

• Arc length is twice the radius

• Arc length is three times the radius

Multiple Choice

Find the radius given the arc length of $$15\pi$$  and an angle measure of $$\frac{3\pi}{2}$$ .  (Note that the angle measure is in radians).

• $$r=45mi$$

• $$r=10\ mi$$

• $$r=22.5\ mi$$

• $$r=\frac{45\pi}{2}\ mi$$

Multiple Choice

What type of angle is represented by an angle whose terminal side lies on the x- or y-axis?

• Acute angle

• Obtuse angle

• Quadrantal angle

• Reflex angle

• Standard

Multiple Choice

$$\pi$$  

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$\frac{5\pi}{6}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$\frac{7\pi}{6}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$\frac{19\pi}{12}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$-\frac{\pi}{3}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$-\frac{3\pi}{4}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$\frac{3\pi}{4}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$4\pi$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$\frac{\pi}{2}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

$$\frac{11\pi}{6}$$   

• I

• II

• III

• IV

• Quadrantal Angle

Multiple Choice

What is the coterminal angle obtained by subtracting 2π from the positive angle 13π/6?

• π/6

• 5π/6

• 7π/6

• 11π/6

Multiple Choice

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

• π ∕ 3
• 5π ∕ 4
• π ∕ 4
• 13π ∕ 4

Multiple Choice

What is the sum of two complementary angles?

• π

• π/2

• 2π

• 3π/2

Multiple Choice

Which of the following shows $$-210\degree$$  graphed in standard position?

Multiple Choice

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

• 17 π / 3
• 4π ∕ 3
• π ∕ 3
• 8π ∕ 3

Multiple Choice

What direction do positive angles rotate?

• counter-clockwise ("up")

• clockwise ("down")

Multiple Choice

What direction do negative angles rotate?

• counter-clockwise ("up")

• clockwise ("down")

Multiple Choice

What is the formula to convert degrees to radians?

• Multiply degrees by π/180

• Multiply degrees by 180/π

• Add degrees to π

• Subtract degrees from 180

Multiple Choice

What is $$\frac{2\pi}{3}$$   radians in degrees? 

• $$150\degree$$  

• $$120\degree$$  

• $$180\degree$$  

• $$30\degree$$  

Multiple Choice

What is  $$225\degree$$   in radians? 

• $$\frac{7\pi}{4}$$  

• $$\frac{5\pi}{4}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{5\pi}{3}$$  

Multiple Choice

Convert $$\frac{35\pi}{18}$$ radians into degrees

• 350^o

• 340^o

• 355^o

• 345⁰

Multiple Choice

What is 60 degrees in radians? 

• $$\frac{2\pi}{3}$$

• $$\frac{\pi}{3}$$

• $$\frac{4\pi}{3}$$

• $$\frac{\pi}{6}$$

Multiple Choice

How many DEGREES are in a circle?

• 180^o

• 360^o

• π rad

• 2π rad

Multiple Choice

How many RADIANS are in a circle?

• 180^o

• 360^o

• π rad

• 2π rad