What is the degree measure of $$\frac{\pi}{3}$$ radians?

$$\frac{\pi}{3}$$ radians is equal to 60 degrees.

What is the degree measure of $$\frac{2\pi}{3}$$ radians?

$$\frac{2\pi}{3}$$ radians is equal to 120 degrees.

What is the degree measure of $$\frac{3\pi}{2}$$ radians?

$$\frac{3\pi}{2}$$ radians is equal to 270 degrees.

What is the degree measure of $$\frac{5\pi}{6}$$ radians?

$$\frac{5\pi}{6}$$ radians is equal to 150 degrees.

If an angle measures -150 degrees, what is its positive coterminal angle?

The positive coterminal angle is 210 degrees.

If an angle measures 325 degrees, what is its positive coterminal angle?

The positive coterminal angle is 325 degrees - 360 degrees = -35 degrees, or 325 degrees.

What is the measure of an angle in radians that is equivalent to 180 degrees?

180 degrees is equal to $$\pi$$ radians.

What is the measure of an angle in radians that is equivalent to 90 degrees?

90 degrees is equal to $$\frac{\pi}{2}$$ radians.

What is the measure of an angle in radians that is equivalent to 45 degrees?

45 degrees is equal to $$\frac{\pi}{4}$$ radians.

Degrees and Radians Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 1 full rotation (360 degrees) is equal to 2π radians.

2.

FLASHCARD QUESTION

Front

How do you convert degrees to radians?

Back

3.

FLASHCARD QUESTION

Front

How do you convert radians to degrees?

Back

4.

FLASHCARD QUESTION

Front

What is the radian measure of a right angle?

Back

5.

FLASHCARD QUESTION

Front

What is the radian measure of a straight angle?

Back

6.

FLASHCARD QUESTION

Front

What is the radian measure of a full rotation?

Back

A full rotation is equal to 2π radians.

7.

FLASHCARD QUESTION

Front

Back

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