Write the equation of a circle with the given center and radius.
-Center at (0, -8); Radius 12
A) $x ^ { 2 } + ( y + 8 ) ^ { 2 } = 144$
B) $( x - 8 ) ^ { 2 } + y ^ { 2 } = 144$
C) $( x + 8 ) ^ { 2 } + y ^ { 2 } = 144$
D) $x ^ { 2 } + ( y - 8 ) ^ { 2 } = 12$

Question

Write the equation of a circle with the given center and radius.
-Center at (0, -8); Radius 12 
A) $x ^ { 2 } + ( y + 8 ) ^ { 2 } = 144$
B) $( x - 8 ) ^ { 2 } + y ^ { 2 } = 144$
C) $( x + 8 ) ^ { 2 } + y ^ { 2 } = 144$
D) $x ^ { 2 } + ( y - 8 ) ^ { 2 } = 12$

Quizplus · Accepted Answer

The equation of a circle with center (h, k) and radius r is $(x - h)^2 + (y - k)^2 = r^2$. For a center at (0, -8) and radius 12, the equation becomes $x^2 + (y + 8)^2 = 144$.

Write the Equation of a Circle with the Given Center x2+(y+8)2=144x ^ { 2 } + ( y + 8 ) ^ { 2 } = 144x2+(y+8)2=144

Write the Equation of a Circle with the Given Center $x ^ { 2 } + ( y + 8 ) ^ { 2 } = 144$