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Math·Geometry and Trigonometry·Circles

hard

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 FGH, in radians?

A

$\frac{27\pi }{2}$

B

$\frac{29\pi }{2}$

C

$24\pi$

D

$25\pi$