Find an equation of the circle with the given center and radius.
-Center (0, -10), radius 5
A) $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 5$
B) $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 25$
C) $( x - 10 ) ^ { 2 } + y ^ { 2 } = 25$
D) $( x + 10 ) ^ { 2 } + y ^ { 2 } = 25$

Question

Find an equation of the circle with the given center and radius.
-Center (0, -10), radius 5 
A) $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 5$
B) $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 25$
C) $( x - 10 ) ^ { 2 } + y ^ { 2 } = 25$
D) $( x + 10 ) ^ { 2 } + y ^ { 2 } = 25$

Quizplus · Accepted Answer

The equation of a circle with center $(h,k)$ and radius $r$ is $(x-h)^2+(y-k)^2=r^2$. So in this case, the equation would be $x^2 + (y+10)^2 = 25$. This matches with option B.

Find an Equation of the Circle with the Given Center x2+(y−10)2=5x ^ { 2 } + ( y - 10 ) ^ { 2 } = 5x2+(y−10)2=5

Find an Equation of the Circle with the Given Center $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 5$