Radians and Degrees Conversions

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 1 full circle is 360 degrees or 2π radians.

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CCSS.HSF.TF.A.1

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Tags

CCSS.HSF.TF.A.1

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by 180/π.

Tags

CCSS.HSF.TF.A.1

Front

What is 180 degrees in radians?

Back

180 degrees is equivalent to π radians.

Tags

CCSS.HSF.TF.A.1

Front

What is 360 degrees in radians?

Back

360 degrees is equivalent to 2π radians.

Tags

CCSS.HSF.TF.A.1

Front

If a circle is divided into 4 equal parts, how many degrees is each part?

Back

Each part is 90 degrees.

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the radian measure of 90 degrees?

Back

90 degrees is equivalent to π/2 radians.

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CCSS.HSF.TF.A.1

Front

What is the degree measure of π/4 radians?

Back

π/4 radians is equivalent to 45 degrees.

Tags

CCSS.HSF.TF.A.1

Front

How many radians are in a semicircle?

Back

A semicircle is π radians.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the degree measure of 3π/2 radians?

Back

3π/2 radians is equivalent to 270 degrees.

Tags

CCSS.HSF.TF.A.1