Unit Circle Angles in Radians

Front

What is the definition of a radian?

Back

A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

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 relationship between degrees and radians?

Back

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

Tags

CCSS.HSF.TF.A.1

Front

What is the radian measure of 90 degrees?

Back

90 degrees is equal to π/2 radians.

Tags

CCSS.HSF.TF.A.1

Front

What is the radian measure of 180 degrees?

Back

180 degrees is equal to π radians.

Tags

CCSS.HSF.TF.A.1

Front

What is the radian measure of 270 degrees?

Back

270 degrees is equal to 3π/2 radians.

Tags

CCSS.HSF.TF.A.1

Front

What is the radian measure of 360 degrees?

Back

360 degrees is equal to 2π radians.

Tags

CCSS.HSF.TF.A.1

Front

What are the coordinates of the point on the unit circle at π/3 radians?

Back

The coordinates are (1/2, √3/2).

Tags

CCSS.HSF.TF.A.2

Front

What are the coordinates of the point on the unit circle at π/4 radians?

Back

The coordinates are (√2/2, √2/2).

Tags

CCSS.HSF.TF.A.2

Front

What are the coordinates of the point on the unit circle at π/6 radians?

Back

The coordinates are (√3/2, 1/2).

Tags

CCSS.HSF.TF.A.2