M3B 3.06 Radians and Degrees

Multiple Choice

How many radians are in 135°?

• $$\pi$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{4\pi}{3}$$  

Multiple Choice

How many radians are in 60°?

• $$\frac{\pi}{2}$$  

• $$\frac{3\pi}{2}$$  

• $$\frac{\pi}{3}$$  

Multiple Choice

How many radians are in 45°?

• $$\pi$$  

• $$\frac{\pi}{3}$$  

• $$\frac{\pi}{4}$$  

Multiple Choice

Convert 240° from degrees to radians.

• $$\frac{4\pi}{3}$$

• $$\frac{\pi}{3}$$

• $$\frac{\pi}{4}$$

• $$\frac{3\pi}{4}$$

Multiple Choice

Convert 331° from degrees to radians.

• $$\frac{180\pi}{331}$$

• $$331\pi$$

• $$\frac{331\pi}{180}$$

• $$\frac{3\pi}{4}$$

Multiple Choice

How many degrees are in $$\frac{\pi}{4}$$  radians?

•  30°

• 45°

• 60°

Multiple Choice

How many degrees are in $$\frac{2\pi}{3}$$  radians?

• 90°

• 120°

• 150°

Multiple Choice

How many degrees are in $$\frac{5\pi}{4}$$  radians?

• 270°

• 225°

• 180°

Multiple Choice

Convert $$\frac{49\pi}{90}$$ from radians to degrees.

• 131°

• 139°

• 90°

• 98°

Multiple Choice

Convert $$\frac{53\pi}{36}$$ from radians to degrees.

• 89°

• 269°

• 85°

• 265°

Multiple Choice

$$\frac{8\pi}{3}$$  is equivalent to what degree measure?

• 480°

• 240°

• 800°

• 24°

Multiple Choice

What is $$\frac{11\pi}{6}$$   radians in degrees? 

• 30°

• 330°

• 360°

•  300°

Multiple Choice

Which of the following is the correct formula to convert degrees to radians?

• Multiply degrees by $$\frac{\pi}{180}$$

• Multiply degrees by $$\frac{180}{\pi}$$

• Multiply degrees by $$\frac{\pi}{360}$$

• Multiply degrees by $$\frac{360}{\pi}$$

Multiple Choice

Which of the following is the correct formula to convert radians to degrees?

• Multiply radians by $$\frac{\pi}{180}$$

• Multiply radians by $$\frac{180}{\pi}$$

• Multiply radians by $$\frac{\pi}{360}$$

• Multiply radians by $$\frac{360}{\pi}$$

Multiple Choice

Which of the following is NOT a correct statement?

• 16π/9 = 300°

• π/9 = 20°

• 17π/36 = 85°

• π/90 = 2°

Drag and Drop

Match each radian measure to its equivalent degree measure.

$$\frac{\pi}{12}$$ = ​​

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$$\frac{179\pi}{90}$$ = ​ ​

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$$\frac{3\pi}{5}$$ = ​

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​ $$\pi$$ = ​ ​

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Drag these tiles and drop them in the correct blank above

15°

358°

108°

180°

Multiple Select

Which of the following are correct conversions from radians to degrees? Select all that apply:

• $$\frac{5\pi}{6}$$ = 150°

• $$\frac{5\pi}{3}$$ = 300°

• $$\frac{\pi}{9}$$ = 90°

• $$\frac{\pi}{18}$$ = 180°

Drag and Drop

Match each degree measure to its equivalent radian measure.

83° = ​

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44° = ​

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8° = ​

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18° = ​

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Drag these tiles and drop them in the correct blank above

Categorize

Options (6)

$$\pi$$  

$$\frac{\pi}{2}$$  

$$\frac{31\pi}{90}$$  

$$\frac{\pi}{7}$$  

$$\frac{37\pi}{60}$$  

$$\frac{23\pi}{36}$$  

Sort the angle measures, given in radians, by the type of angle they describe: acute, obtuse, right, or straight.

acute angles (<90°)

obtuse angles (>90°)

right angle (=90°)

straight angle (=180°)

Reorder

Place each of the radian measurements in order from the SMALLEST to LARGEST angle.

• $$\frac{\pi}{2}$$

• $$\frac{29\pi}{36}$$

• $$\frac{7\pi}{4}$$

1

2

3

• 1
• 2
• 3

Match

Match the equivalent angle measures.

• $$\frac{19\pi}{12}$$

• $$\frac{4\pi}{15}$$

• $$\frac{37\pi}{90}$$

• $$\frac{67\pi}{90}$$

• $$\frac{\pi}{30}$$

285°

48°

74°

134°

6°

• 285°

• 48°

• 74°

• 134°

• 6°

Math Response

Convert 120° to radians. Be sure to include π!

Type answer here

Correct Answer: \frac{2\pi}{3}

Deg^°

Rad

Multiple Choice

Convert π radians to degrees.

• 90⁰
• 180⁰
• 360⁰
• 60⁰

Multiple Choice

What is 360 degrees in radians? 

• 2π/3
• 5π/4
• 2π
• π

Multiple Choice

Convert 100⁰ to radians

• $$\frac{5π}{9}$$

• $$\frac{9π}{5}$$
  

• $$\frac{5π}{8}$$
  

• $$\frac{10π}{9}$$
  

• $$\frac{9π}{10}$$