Converting Angles and Fractions

The video tutorial explains how to convert an angle given in degrees, minutes, and seconds into degrees and then into radians as an exact fraction of pi. It covers the conversion of minutes and seconds to degrees, simplifying fractions, calculating decimal approximations, and finally converting the angle from degrees to radians. The tutorial provides step-by-step instructions and calculations to ensure a clear understanding of the process.

What is the first step in converting an angle given in degrees, minutes, and seconds?

• Convert the angle to radians directly

• Convert minutes and seconds to degrees

• Add the degrees, minutes, and seconds

• Multiply the angle by pi

How many minutes are equivalent to one degree?

• 90 minutes

• 60 minutes

• 45 minutes

• 30 minutes

What is the simplified form of 18/60?

• 1/4

• 3/10

• 3/5

• 1/3

What is the least common denominator used to sum the fractions 3/10 and 1/75?

• 100

• 150

• 125

• 175

What is the decimal approximation of 47/150 rounded to four decimal places?

• 0.3155

• 0.3122

• 0.3144

• 0.3133

What is the first step in converting an angle from degrees to radians?

• Multiply by pi/180

• Add pi to the angle

• Divide by pi

• Multiply by 180

What is the improper fraction form of 65 and 47/150 degrees?

• 9797/150

• 9800/150

• 9700/150

• 9750/150

What is the product of 150 and 180 in the denominator when converting to radians?

• 28,000

• 27,000

• 25,000

• 30,000

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

• 9797/27,000 pi

• 9800/28,000 pi

• 9800/27,000 pi

• 9797/28,000 pi

Which of the following is an acceptable form of expressing the angle in radians?

• 9800/28,000

• 9800/27,000 pi

• 9797/27,000 pi

• 9797/27,000