Find the Equation of the Circle Graphed Below $\quad y ^ { 2 } = x ^ { 2 } + 25$

Multiple Choice

Find the equation of the circle graphed below.

A) $\quad y ^ { 2 } = x ^ { 2 } + 25$
B) $\quad x ^ { 2 } + y ^ { 2 } = 1$
C) $\quad x ^ { 2 } + y ^ { 2 } = 25$
D) $\quad x ^ { 2 } + y ^ { 2 } = 5$
E) $\quad x ^ { 2 } + y = 25$