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Convert the angle theta=(9pi)/(5) radians to degrees. Express your answer exactly. theta= ◻

Convert the angle θ=9π5 \theta=\frac{9 \pi}{5} radians to degrees.\newlineExpress your answer exactly.\newlineθ= \theta= \newline□ \square

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Full solution

Q. Convert the angle θ=9π5 \theta=\frac{9 \pi}{5} radians to degrees.\newlineExpress your answer exactly.\newlineθ= \theta= \newline□ \square
  1. Conversion Factor: To convert radians to degrees, we use the conversion factor 180180 degrees/π\pi radians.\newlineSo, we multiply (9π)/(5)(9\pi)/(5) by 180/π180/\pi to get the degrees.\newlineCalculation: (9π)/(5)×(180/π)=(9×180)/(5)=1620/5=324(9\pi)/(5) \times (180/\pi) = (9 \times 180)/(5) = 1620/5 = 324 degrees.

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