How many degrees is start fraction, 8, pi, divided by, 9, end fraction 98π radians?
Solution
The question seems to be asking for the conversion of a radian measurement to degrees. The measurement given is 8π/9 radians.
Here are the steps to convert radians to degrees:
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Identify the radian measurement. In this case, it's 8π/9 radians.
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Use the conversion ratio, which is 180 degrees = π radians.
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Set up the conversion so the radian will cancel out. You should multiply 8π/9 by 180/π.
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When you do the multiplication, the π in the numerator and denominator will cancel out.
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You're then left with (8/9)*180, which equals 160 degrees.
So, 8π/9 radians is equal to 160 degrees.
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