How to find the degree measure of 2 radians

The video tutorial explains the concept of radians, starting with their definition as the angle formed when the radius of a circle is wrapped around its circumference. It discusses how radians can be expressed as numbers and compares them to degrees. The relationship between radians and π is explored, emphasizing that radians do not always need to be expressed in terms of π. The tutorial concludes with a detailed explanation of converting between radians and degrees, using the conversion ratio of 180 degrees over π.

What is the measure of one radian in terms of a circle's radius?

• The length of the diameter

• The length of the radius wrapped around the circle

• The length of the radius

• The length of the circumference

How many radians are there in a half-circle?

• π radians

• 3π radians

• 2π radians

• 4π radians

What is the conversion ratio from degrees to radians?

• Multiply by π/360

• Multiply by 180/π

• Multiply by π/180

• Multiply by 360/π

If an angle is 360 degrees, approximately how many radians is it?

• 6.28 radians

• 101.14 radians

• 3.14 radians

• 2 radians

What is the approximate degree measure of 2 radians?

• 180 degrees

• 114.59 degrees

• 90 degrees

• 57.3 degrees