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

Conversion Factor Application: To convert radians to degrees, we use the conversion factor that pi radians is equal to 180 degrees. The conversion formula is: Degrees = Radians * (180/pi)Formula Application: Now, we apply the formula to the given angle (11 pi)/(4) radians: Degrees = (11 pi)/(4) * (180/pi)Expression Simplification: We can simplify the expression by canceling out the pi terms: Degrees = (11/4) * 180Multiplication: Now, we perform the multiplication: Degrees = 11 * 45Final Calculation: Finally, we calculate the product: Degrees = 495

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

Convert the angle $\frac{11 \pi}{4}$ radians to degrees. $\newline$ Answer:

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Precalculus

Convert between radians and degrees

Full solution

Q. Convert the angle

\frac{11 \pi}{4}

radians to degrees.

\newline

Answer:

Conversion Factor Application: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equal to $180$ degrees. The conversion formula is: $\newline$ Degrees = Radians $\times \left(\frac{180}{\pi}\right)$
Formula Application: Now, we apply the formula to the given angle $(11 \pi)/(4)$ radians: $\newline$ Degrees = $(11 \pi)/(4) \times (180/\pi)$
Expression Simplification: We can simplify the expression by canceling out the pi terms: Degrees = $(\frac{11}{4}) \times 180$
Multiplication: Now, we perform the multiplication: $\newline$ Degrees = $11 \times 45$
Final Calculation: Finally, we calculate the product: $\newline$ Degrees = $495$