Give the coordinates of the circle's center and its radius. $$x ^ { 2 } + y ^ { 2 } - 64 = 0$$
A)(1,1);r = 64
B)(0,0);r = 8
C)(1,1);r = 8
D)(0,0);r = 64
E)none of these

Question

Give the coordinates of the circle's center and its radius.​ $$x ^ { 2 } + y ^ { 2 } - 64 = 0$$ ​
A)(1,1);r = 64
B)(0,0);r = 8
C)(1,1);r = 8
D)(0,0);r = 64
E)none of these

Quizplus · Accepted Answer

The given equation is in the form $x^2 + y^2 = r^2$, which represents a circle centered at (0,0) with a radius $r$. Solving for $r^2 = 64$ gives $r = 8$, making the correct answer (0,0) for the center and 8 for the radius.

Give the Coordinates of the Circle's Center and Its Radius x2+y2−64=0x ^ { 2 } + y ^ { 2 } - 64 = 0x2+y2−64=0

Give the Coordinates of the Circle's Center and Its Radius $x ^ { 2 } + y ^ { 2 } - 64 = 0$