Match each item with the correct graph to obtain a true statement.
-circle
A) $x ^ { 2 } + y ^ { 2 } = 0$
B) $x ^ { 2 } + y ^ { 2 } = 9$
C) $x ^ { 2 } + y ^ { 2 } = - 9$

Question

Match each item with the correct graph to obtain a true statement.
-circle
A) $x ^ { 2 } + y ^ { 2 } = 0$ 
B) $x ^ { 2 } + y ^ { 2 } = 9$ 
C) $x ^ { 2 } + y ^ { 2 } = - 9$

Quizplus · Accepted Answer

A circle is defined as the set of all points in a plane that are equidistant from a fixed point called the center. The equation for a circle with center (0,0) and radius 3 is $x ^ { 2 } + y ^ { 2 } = 9$. The other two equations are not valid for circles because they either have a radius of 0 (A) or a negative radius, which does not make geometric sense (C).

Match Each Item with the Correct Graph to Obtain a True