Converting radians to degrees help me on math - How to pass pre-calculus

The video tutorial discusses converting radians to degrees, focusing on the example of 5π/4 radians. The instructor explains the relationship between radians and degrees, using the unit circle and the concept that π radians equal 180 degrees. The process involves setting up a ratio and performing multiplication to cancel out π and convert the measurement to degrees, resulting in an answer of 225 degrees.

What is the degree measure of a straight angle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What is the equivalent of π radians in degrees?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

What is the first step in converting 5π/4 radians to degrees?

• Multiply by 180/π

• Add 180

• Subtract π

• Multiply by π/180

After canceling out π, what operation is performed to find the degree measure?

• Multiply by 180

• Divide by 4

• Add 180

• Multiply by 5

What is the final degree measure of 5π/4 radians?

• 270 degrees

• 315 degrees

• 225 degrees

• 180 degrees