Find the standard form equation for the circle.
-Center $( - 8,7 )$, radius 1
A) $( x - 8 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 1$
B) $( x + 7 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 1$
C) $( x - 7 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 1$
D) $( x + 8 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 1$

Question

Quizplus · Accepted Answer

The standard form 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 $(-8, 7)$ and radius $1$, the equation becomes $(x + 8)^2 + (y - 7)^2 = 1^2$, which matches option D.

Find the Standard Form Equation for the Circle (−8,7)( - 8,7 )(−8,7)

Find the Standard Form Equation for the Circle $( - 8,7 )$