Point $F$ lies on a unit circle in the xy-plane and has coordinates $…

Question

Prompt

Point

F

lies on a unit circle in the xy-plane and has coordinates

(1, 0)

. Point

G

is the center of the circle and has coordinates

(0, 0)

. Point

H

also lies on the circle and has coordinates

(- 1, y)

, where

y

is a constant. Which of the following could be the positive measure of angle

F G H

, in radians?

\frac{25 π}{2}

\frac{27 π}{2}

22 π

23 π