Convert the angle 0= 8π/9 radians to degrees.
Express your answer exactly.
0 =?
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Answer:
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π . Factor π π out of 8π 8 π . Rewrite the expression.
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Solution
To convert from radians to degrees. we multiply
by 180/pi
8/9 * pi * (180/pi)
The pi terms cancel
8/9 * 180 =
8 * 20 =
160 degrees
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