Rewriting a number in degrees in radians using the conversion ratio

The video tutorial explains how to convert angles from degrees to radians by multiplying by π/180. It demonstrates the simplification of angles by reducing fractions, emphasizing the importance of simplifying expressions. The session concludes with a brief interaction, encouraging students to engage with the material.

What is the first step in converting degrees to radians?

• Add 180 to the degree value

• Multiply by π/180

• Subtract 180 from the degree value

• Divide by π

Why do we multiply by π/180 when converting degrees to radians?

• To simplify the angle

• To convert the angle to a fraction

• To add π to the angle

• To eliminate the degree unit

How can you simplify the fraction 100π/184?

• Divide both numerator and denominator by 2

• Add 10 to both numerator and denominator

• Multiply both numerator and denominator by 2

• Divide both numerator and denominator by 5

What is the simplified form of 10/18?

• 5/9

• 10/9

• 1/2

• 5/18

What is the importance of simplifying angles in radian form?

• To add complexity to the problem

• To convert back to degrees

• To increase the angle value

• To make calculations easier