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Convert the angle (11 pi)/(4) radians to degrees. Answer:

Convert the angle 11π4 \frac{11 \pi}{4} radians to degrees.\newlineAnswer:

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Full solution

Q. Convert the angle 11π4 \frac{11 \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 equal 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 (11π)/(4)(11 \pi)/(4) radians:\newlineDegrees = (11π)/(4)×(180/π)(11 \pi)/(4) \times (180/\pi)
  3. Expression Simplification: We can simplify the expression by canceling out the pi terms: Degrees = (114)×180(\frac{11}{4}) \times 180
  4. Multiplication: Now, we perform the multiplication:\newlineDegrees = 11×4511 \times 45
  5. Final Calculation: Finally, we calculate the product:\newlineDegrees = 495495

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