Answers:
- pi/3 radians = 60 degrees
- pi/4 radians = 45 degrees
- pi/2 radians = 90 degrees
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Step-by-step 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