Question 183809
Radians works on the concept of a full circle (360 degrees) is {{{2pi}}}

if {{{2pi}}} is a full circle, then a half circle would be{{{pi}}} (180 degrees)

Therefore, {{{1/4}}} circle would {{{1PI/2}}}

A quadrant is {{{1/4}}} of a circle

Quadrant I {{{0<x<pi/2}}}
Quadrant II {{{pi/2<x<pi}}}
Quadrant III {{{pi<x<3pi/2}}}
Quadrant IV {{{3pi/2<x<2pi}}}

If we convert the quadrants to 4th's since your angle is{{{7pi/4}}}
we get
I {{{0 - 2pi/4}}}
II {{{2pi/4-4pi/4}}}
III {{{4pi/4 - 6pi/4}}}
IV {{{6pi/4 - 8pi/4}}}

Since {{{7pi/4}}} is between {{{6pi/4}}} & {{{8pi/4}}}
Your angle lies in quadrant IV