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How do you change #(7pi)/9# radians to degree measure?

Answer 1

Samantha Abate

#color(green)(140^@#

degrees of Radians

#d^@ =( r^c * 360) / (2pi)#

Given #r = ((7pi)/9)^c#

#d = ((7 cancel(color(blue)(pi))) * cancel(360)^color(red)(20)) / (cancel(9 * 2 )cancel (color(blue)(pi)) #

#=> 7 * 20 = color(green)(140^@#

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Answer 2

Jordan Armstrong

To convert radians to degrees, you can use the conversion factor:

[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} ]

Substituting the given value of ( \frac{7\pi}{9} ) radians:

[ \text{Degrees} = \frac{7\pi}{9} \times \frac{180}{\pi} ]

[ \text{Degrees} = \frac{7 \times 180}{9} ]

[ \text{Degrees} = 140 ]

So, ( \frac{7\pi}{9} ) radians is equal to ( 140 ) degrees.

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Answer from HIX Tutor

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