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centered at the origin , and the radius is the distance from (0,0) to (5,6)
right?

actually, here is a simple way to see the solution ....

|dw:1443251516317:dw|

since the angle of rotation is a nice one, it makes it pretty simple

you understand the picture?

so would the answer be( -6,5)

almost, since it travels 30/40 of the way around, or 270 degrees, you end here...

(6-5)

sorry, you start moving at angle A, not at angle zero, let me redo that

okay

|dw:1443252011827:dw|

the overall angle after moving is 270 plus the initial angle A

the whole circle totals 360, so you can show that the remaining distance to the + x axis is 90 - A

|dw:1443252567646:dw|

So would it be (5-6)?

(5,-6)

sorry this is still confusing for me _-.-

have you had trig yet?

Just starting

yes

|dw:1443253028067:dw|

tangent of angle A is 5/6

th eside lengths of the triangle are the components of the coordinate (5,6)

|dw:1443253419214:dw|