Write an equation of the circle with the given center and radius.
-$( 0,1 ) ; \sqrt { 11 }$
A) $( x + 1 ) ^ { 2 } + y ^ { 2 } = 121$
B) $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 11$
C) $x ^ { 2 } + ( y + 1 ) ^ { 2 } = 11$
D) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 121$

Question

Quizplus · Accepted Answer

The general equation for a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. For a circle with center $(0, 1)$ and radius $\sqrt{11}$, the equation is $x^2 + (y - 1)^2 = (\sqrt{11})^2$, which simplifies to $x^2 + (y - 1)^2 = 11$.

Write an Equation of the Circle with the Given Center (0,1);11( 0,1 ) ; \sqrt { 11 }(0,1);11​

Write an Equation of the Circle with the Given Center $( 0,1 ) ; \sqrt { 11 }$