Understanding Angles in Degrees and Radians

The video tutorial explains how to convert an angle given in degrees and minutes into a decimal degree and then into radians. It starts by simplifying the angle 84 degrees and 52 minutes into a mixed number and a decimal approximation. The tutorial then demonstrates converting this angle into radians, providing an exact fraction of pi. The process involves understanding the relationship between minutes, seconds, and degrees, and using the conversion factor of pi/180 to switch from degrees to radians.

How many minutes are equivalent to one degree?

• 30 minutes

• 45 minutes

• 60 minutes

• 90 minutes

What is the simplified fraction of 52/60?

• 52/60

• 26/30

• 4/5

• 13/15

What is the decimal approximation of 13/15?

• 0.8333

• 0.8667

• 0.9000

• 0.7500

What is the greatest common factor used to simplify 52/60?

• 2

• 3

• 4

• 5

How do you express 84 and 13/15 degrees as an improper fraction?

• 1273/15

• 1260/84

• 1260/15

• 1273/84

What is the formula to convert degrees to radians?

• Multiply by pi/360

• Multiply by 360/pi

• Multiply by pi/180

• Multiply by 180/pi

What is the first step in converting degrees to radians?

• Add pi to the degrees

• Multiply by pi/180

• Divide by pi

• Subtract 180 from the degrees

What is the result of multiplying 1273/15 by pi/180?

• 1273/54000

• 1273/180

• 1273/27000

• 1273/360

What is the exact fraction of pi for the angle in radians?

• 1273/54000 pi

• 1273/27000 pi

• 1273/360 pi

• 1273/180 pi

What is the denominator when converting 1273/15 degrees to radians?

• 180

• 15

• 27000

• 360