If the angle is 90 degrees, the point is (350,200)?

Do your angles start at the upper axis, the "North axis", then go clockwise?

If your angles start from the normal "East axis" then go counterclockwise, then the point at 90 degrees should be (200,350).

Whatever way you have there, for arbitrary angles/degrees, you just get the components of the 150-radius that are parallel to your axes.

Let us say your angles start the usual East-axis, or positive x-axis, and then go counterclockwise.

If the angle is 90 degrees,

x = 200 +150cos(90deg) = 200 +0 = 200

y = 200 +150sin(90deg) = 200 +150 = 350

Hence, point (200,350).

If the angle is 30 degrees,

x = 200 +150cos(30deg) = 200 +129.9 = 329.9

y = 200 +150sin(30deg) = 200 +75 = 275

Hence, point (329.9,275).

If the angle is 108 degrees,

x = 200 +150cos(108deg) = 200 -46.35 = 153.65

y = 200 +150sin(108deg) = 200 +142.66 = 342.66

Hence, point (153.65,342.66).

Etc....