Write the standard form of the equation of the circle.
-Center (0, -5), r = 7
A) $( x + 5 ) ^ { 2 } + y ^ { 2 } = 49$
B) $( x - 5 ) ^ { 2 } + y ^ { 2 } = 49$
C) $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 49$
D) $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 7$

Question

Write the standard form of the equation of the circle.
-Center (0, -5), r = 7 
A) $( x + 5 ) ^ { 2 } + y ^ { 2 } = 49$
B) $( x - 5 ) ^ { 2 } + y ^ { 2 } = 49$
C) $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 49$
D) $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 7$

Quizplus · Accepted Answer

The standard form of the equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center of the circle and $r$ is the radius. Given the center $(0, -5)$ and $r = 7$, the equation becomes $x^2 + (y + 5)^2 = 49$.

Write the Standard Form of the Equation of the Circle (x+5)2+y2=49( x + 5 ) ^ { 2 } + y ^ { 2 } = 49(x+5)2+y2=49

Write the Standard Form of the Equation of the Circle $( x + 5 ) ^ { 2 } + y ^ { 2 } = 49$