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What is #(-13pi)/8 # radians in degrees?

Answer 1

Violet Anderson

#= color(green)( -292^@ 30'#

#(-13pi) / 8 #

#=> ((-13pi) / 8 ) * (180 / pi ) color(white)(aaa)# as #color(brown)(pi^c = 180^@#

#=> ((-13) * cancel pi * cancel(180)^color(red)(45)) / (cancel(8)^color(red)(2) * cancel (pi)) #

# => (-13 * 45) / 2 = color(green)( -292^@ 30'#

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Answer 2

Emery Adkins

To convert radians to degrees, you use the formula:

[ \text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right) ]

Given ( \text{Radians} = -\frac{13\pi}{8} ), you can plug it into the formula:

[ \text{Degrees} = -\frac{13\pi}{8} \times \left(\frac{180}{\pi}\right) ]

[ = -13 \times \frac{180}{8} ]

[ = -13 \times 22.5 ]

[ = -292.5 ]

Therefore, ( -\frac{13\pi}{8} ) radians is equivalent to ( -292.5^\circ ) in degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.