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mathstudent55
A full circle is 360 deg.
A full circle is 2 pi radians.

That gives us a conversion equation:

2 pi radians = 360 deg

which can be reduced to

pi radians = 180 deg

Divide both sides by pi radians to get

1 = (180 deg)(pi radians)

Now we can convert:

11 pi/4 radians * (180 deg)/(pi radians) = 11/4 * 180 deg = 495 deg
TeslaElectric
Hi there!
So we are given the problem [tex] \frac{11 \pi }{4} [/tex]. What we need to do is convert the radian measure to the degree measure. We can do this by multiplying 180/pi, which is the conversion factor. Since the problem asks us to use 3.14 for pi, we can derive the expression [tex]\frac{11 (3.14) }{4} * \frac{180}{ 3.14} [/tex]. When we simplify that, we get 495 degrees. Therefore, the answer to your query is 495 degrees. Hope this helps!

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