Master how to convert an angle in degrees to radians

This video tutorial explains how to convert angles from degree form to radian form using the conversion ratio π/180. It provides step-by-step examples for converting various angles, including 45, 300, 270, and 81 degrees, into radians. The tutorial emphasizes the importance of simplifying fractions and understanding the equivalence of π and 180 degrees in different formats. It also covers handling negative angles and fractional results, offering both exact and approximate solutions.

Why is it important to convert angles from degrees to radians?

• Radians are easier to visualize.

• Radians are a newer measurement system.

• Some calculations require angles in radians.

• Degrees are not used in mathematics.

What is the conversion factor used to convert degrees to radians?

• π/90

• 90/π

• π/180

• 180/π

When converting 45 degrees to radians, what is the simplified form?

• π/4

• π/3

• π/6

• π/2

What is the first step in converting 300 degrees to radians?

• Multiply by π/180

• Subtract 90

• Add 180

• Divide by 90

After simplifying, what is the radian measure of 300 degrees?

• 2π

• 3π/2

• 5π/3

• 5π/2

How do you handle negative angles when converting to radians?

• Add 360 before converting

• Ignore the negative sign

• Convert as usual, keeping the negative sign

• Multiply by -1 after conversion

What is the approximate radian measure of 81 degrees?

• 0.45 radians

• 1.41 radians

• 0.81 radians

• 2.41 radians