How many degrees is start fraction, 8, pi, divided by, 9, end fraction 98π radians?
Question
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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