Write the equation of a circle with the given center and radius.
-Center at (0, 0); Radius 7
A) $x ^ { 2 } - y ^ { 2 } = 7$
B) $x ^ { 2 } - y ^ { 2 } = \sqrt { 7 }$
C) $x ^ { 2 } + y ^ { 2 } = 7$
D) $x ^ { 2 } + y ^ { 2 } = 49$

Question

Write the equation of a circle with the given center and radius.
-Center at (0, 0); Radius 7 
A) $x ^ { 2 } - y ^ { 2 } = 7$
B) $x ^ { 2 } - y ^ { 2 } = \sqrt { 7 }$
C) $x ^ { 2 } + y ^ { 2 } = 7$
D) $x ^ { 2 } + y ^ { 2 } = 49$

Quizplus · Accepted Answer

The equation of a circle with center at (h, k) and radius r is $(x - h)^2 + (y - k)^2 = r^2$. For a circle centered at (0, 0) with radius 7, the equation is $x^2 + y^2 = 7^2$, which simplifies to $x^2 + y^2 = 49$.

Write the Equation of a Circle with the Given Center x2−y2=7x ^ { 2 } - y ^ { 2 } = 7x2−y2=7

Write the Equation of a Circle with the Given Center $x ^ { 2 } - y ^ { 2 } = 7$