Question

Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places.

11 pi / 4

Answer 1

Hi there!
So we are given the problem
`(11 \pi )/(4)`. 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
`(11 (3.14) )/(4) * (180)/( 3.14)`. When we simplify that, we get 495 degrees. Therefore, the answer to your query is 495 degrees. Hope this helps!

Answer 2

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