Write the standard form of the equation of the circle.
-Center (0, 0), r = 2
A) $x ^ { 2 } + y ^ { 2 } = 2$
B) $x ^ { 2 } + y ^ { 2 } = 4$
C) $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$
D) $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 2$

Question

Write the standard form of the equation of the circle.
-Center (0, 0), r = 2 
A) $x ^ { 2 } + y ^ { 2 } = 2$
B) $x ^ { 2 } + y ^ { 2 } = 4$
C) $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$
D) $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 2$

Quizplus · Accepted Answer

The standard form of the equation of a circle with center at (0, 0) and radius r is $x^2 + y^2 = r^2$. Given r = 2, the equation becomes $x^2 + y^2 = 2^2$, which simplifies to $x^2 + y^2 = 4$.

Write the Standard Form of the Equation of the Circle x2+y2=2x ^ { 2 } + y ^ { 2 } = 2x2+y2=2

Write the Standard Form of the Equation of the Circle $x ^ { 2 } + y ^ { 2 } = 2$