Write the standard form of the equation of the circle with the given characteristics.
center: $( 1 , - 7 )$; radius: 3
A) $( x + 1 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 9$
B) $( x + 7 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 3$
C) $( x + 7 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$
D) $( x - 7 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 3$
E) $( x - 1 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 9$

Question

Write the standard form of the equation of the circle with the given characteristics. 
center: $( 1 , - 7 )$; radius: 3
A) $( x + 1 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 9$
B) $( x + 7 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 3$
C) $( x + 7 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$
D) $( x - 7 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 3$
E) $( x - 1 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 9$

Quizplus · Accepted Answer

The standard form of the equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center of the circle and $r$ is the radius. Given the center $(1, -7)$ and radius $3$, the equation becomes $(x - 1)^2 + (y + 7)^2 = 9$.

Write the Standard Form of the Equation of the Circle (1,−7)( 1 , - 7 )(1,−7)

Write the Standard Form of the Equation of the Circle $( 1 , - 7 )$