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

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

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Thu Cúc 3 years 2021-08-18T22:42:32+00:00 1 Answers 34 views 0

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  1. mit
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    2021-08-18T22:44:07+00:00
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    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

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