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Convert the angle (3pi)/(4) radians to degrees. Answer:

Convert the angle 3π4 \frac{3 \pi}{4} radians to degrees.\newlineAnswer:

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Full solution

Q. Convert the angle 3π4 \frac{3 \pi}{4} radians to degrees.\newlineAnswer:
  1. Convert to degrees: To convert radians to degrees, we use the conversion factor that π\pi radians is equal to 180180 degrees. The formula to convert an angle in radians to degrees is: degrees=radians×(180/π)\text{degrees} = \text{radians} \times (180/\pi).
  2. Apply formula: Now, we apply the formula to the given angle (3π)/(4)(3\pi)/(4) radians: degrees = (3π)/(4)×(180/π)(3\pi)/(4) \times (180/\pi).
  3. Simplify expression: We can simplify the expression by canceling out the pi terms: degrees=34×180\text{degrees} = \frac{3}{4} \times 180.
  4. Calculate degree measure: Multiplying (34)(\frac{3}{4}) by 180180 gives us the degree measure: degrees = 135135.

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