Question

In degree measure, the angles pie/3, pie/4, and pie/2 are respectively

Answer 1

Answers:

• pi/3 radians = 60 degrees
• pi/4 radians = 45 degrees
• pi/2 radians = 90 degrees

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Explanation:

To apply the conversion, we use the idea that pi radians is equivalent to 180 degrees

pi radians = 180 degrees

To convert from radians to degrees, we'll multiply by the conversion factor (180/pi)

This leads us to the following:

• (pi/3 radians)*(180/pi) = (pi*180)/(3*pi) = 180/3 = 60. So pi/3 radians converts to 60 degrees
• (pi/4 radians)*(180/pi) = (pi*180)/(4*pi) = 180/4 = 45. So pi/4 radians converts to 45 degrees
• (pi/2 radians)*(180/pi) = (pi*180)/(2*pi) = 180/2 = 90. So pi/2 radians converts to 90 degrees