Radians and Degrees Conversion Concepts

Nancy explains radians and degrees as different ways to measure angles. She describes the technical definition of a radian using a circle and compares degrees and radians on a circle. The video covers conversion factors between radians and degrees, providing step-by-step examples for converting both ways, including handling decimal radians. The video concludes with a call to action to like or subscribe.

What is the main difference between radians and degrees?

• Radians measure angles in terms of pi, while degrees use a numerical system.

• Radians are used only in geometry, while degrees are used in all fields.

• Radians are larger units than degrees.

• Radians are used for measuring time, while degrees measure angles.

How is a radian defined in terms of a circle?

• It is the angle formed when the arc length is equal to the diameter.

• It is the angle formed when the arc length is half the radius.

• It is the angle formed when the arc length is twice the radius.

• It is the angle formed when the arc length is equal to the radius.

What is the equivalent of 360 degrees in radians?

• 4 Pi

• 3 Pi

• 2 Pi

• Pi

Which conversion factor is used to convert degrees to radians?

• 180 degrees over pi

• Pi over 360 degrees

• Pi over 180 degrees

• 360 degrees over pi

What is the simplified form of 200 degrees in radians?

• Pi over 9

• 20 Pi over 18

• 2 Pi over 9

• 10 Pi over 9

When converting radians to degrees, what should be on the bottom of the conversion factor?

• Pi

• Radians

• 360

• Degrees

What is the degree equivalent of 2 Pi over 9 radians?

• 20 degrees

• 50 degrees

• 30 degrees

• 40 degrees

How do you handle decimal radians when converting to degrees?

• Use the same conversion factor and simplify.

• Convert the decimal to a fraction first.

• Ignore the decimal and use pi.

• Multiply by 360 directly.

What is the degree equivalent of 1.5 radians?

• 85.9 degrees

• 90 degrees

• 95 degrees

• 100 degrees

What is a common approximation for pi used in calculations?

• 3.00

• 3.14

• 3.50

• 3.75