Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement.
-$r = \sqrt { 3 }$
A) $x ^ { 2 } + y ^ { 2 } = 3$
B) $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$
C) $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$
D) $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$

Question

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement.
-$r = \sqrt { 3 }$ 
A) $x ^ { 2 } + y ^ { 2 } = 3$ 
B) $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C) $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D) $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$

Quizplus · Accepted Answer

The equation $x^2 + y^2 = 3$ directly corresponds to the standard form of a circle's equation, $x^2 + y^2 = r^2$, where $r$ is the radius. Here, $r^2 = 3$, so $r = \sqrt{3}$, matching the given radius length.

Find the Length of a Radius of Each Circle r=3r = \sqrt { 3 }r=3​

Find the Length of a Radius of Each Circle $r = \sqrt { 3 }$