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QUESTION

What is ##(3pi)/8 ## radians in degrees?

##(3pi)/8## radians ##= 67.5^@##

The standard ratio is ##(180^@)/(pi " radians")##

##(3pi)/8 " radians"## ##color(white)("XXX")=(3 cancel(pi))/8 cancel " radians" xx (180^@)/(cancel(pi) cancel(" radians")##

##color(white)("XXX")=(540^@)/8##

##color(white)("XXX")=67.5^@##

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