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Convert the angle (9pi)/(4) radians to degrees. Answer:

Convert the angle 9π4 \frac{9 \pi}{4} radians to degrees.\newlineAnswer:

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Full solution

Q. Convert the angle 9π4 \frac{9 \pi}{4} radians to degrees.\newlineAnswer:
  1. Conversion Factor Application: To convert radians to degrees, we use the conversion factor that π\pi radians is equivalent to 180180 degrees. The conversion formula is:\newlineDegrees = Radians ×(180π)\times \left(\frac{180}{\pi}\right)
  2. Formula Application: Now, we apply the formula to the given angle 9π/49\pi/4 radians:\newlineDegrees = (9π/4)×(180/π)(9\pi/4) \times (180/\pi)
  3. Expression Simplification: We can simplify the expression by canceling out the π\pi in the numerator and the denominator:\newlineDegrees = (94)×180(\frac{9}{4}) \times 180
  4. Degree Calculation: Now, we multiply 94\frac{9}{4} by 180180 to find the degree measure:\newlineDegrees = 9×459 \times 45\newlineDegrees = 405405

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