converting degrees to radians and vice versa

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are both units for measuring angles. 1 radian is approximately equal to 57.3 degrees.

Tags

CCSS.HSF.TF.A.1

Front

How many degrees are in a full circle?

Back

There are 360 degrees in a full circle.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

How many radians are in a full circle?

Back

There are 2π radians in a full circle.

Tags

CCSS.HSF.TF.A.1

Front

What is the formula to convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees × (π/180).

Tags

CCSS.HSF.TF.A.1

Front

What is the formula to convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians × (180/π).

Tags

CCSS.HSF.TF.A.1

Front

Convert 180 degrees to radians.

Back

180 degrees is equal to π radians.

Tags

CCSS.HSF.TF.A.1

Front

Convert 90 degrees to radians.

Back

90 degrees is equal to π/2 radians.

Tags

CCSS.HSF.TF.A.1

Front

Convert 45 degrees to radians.

Back

45 degrees is equal to π/4 radians.

Tags

CCSS.HSF.TF.A.1

Front

What is the value of 1 radian in degrees?

Back

1 radian is approximately 57.3 degrees.

Tags

CCSS.HSF.TF.A.1

Front

If an angle measures 300 degrees, what is its measure in radians?

Back

300 degrees is equal to 5π/3 radians.

Tags

CCSS.HSF.TF.A.1