Find an equation of the circle with the center at (-5, 1) and the radius of 1.
A) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 4 } = 1$
B) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$
C) $( x - 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$
D) $( x - 4 ) ^ { 2 } + y ^ { 2 } = 9$
E) $( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1$

Question

Find an equation of the circle with the center at (-5, 1) and the radius of 1. 
A) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 4 } = 1$
B) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$
C) $( x - 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$
D) $( x - 4 ) ^ { 2 } + y ^ { 2 } = 9$
E) $( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1$

Quizplus · Accepted Answer

The standard form of a circle's equation is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center and $r$ is the radius. For a center at $(-5, 1)$ and radius $1$, the equation is $(x + 5)^2 + (y - 1)^2 = 1^2$, which matches choice B.

Find an Equation of the Circle with the Center at (-5