Radians and Degrees of the Unit Circle

Front

What is a radian?

Back

A radian is a unit of angular measure used in mathematics. It is defined as 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.

Front

Convert 180 degrees to radians.

Back

180 degrees is equal to π radians.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are both units for measuring angles. The conversion formula is: Radians = Degrees × (π/180).

Front

What is the value of 90 degrees in radians?

Back

90 degrees is equal to π/2 radians.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. It is used to define trigonometric functions.

Front

What are the coordinates of the point on the unit circle at 0 radians?

Back

The coordinates are (1, 0).

Front

What are the coordinates of the point on the unit circle at π/2 radians?

Back

The coordinates are (0, 1).

Front

What is the sine of 30 degrees?

Back

The sine of 30 degrees is 1/2.

Front

What is the cosine of 60 degrees?

Back

The cosine of 60 degrees is 1/2.