Write the equation of the circle with the given center and radius.
-Center (7, 6), radius 5
A) $( x + 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$
B) $( x - 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 25$
C) $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 25$
D) $( x - 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 5$

Question

Quizplus · Accepted Answer

The equation of a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. For center (7, 6) and radius 5, the equation is $(x - 7)^2 + (y - 6)^2 = 5^2$, which simplifies to $(x - 7)^2 + (y - 6)^2 = 25$.

Write the Equation of the Circle with the Given Center (x+6)2+(y+7)2=5( x + 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5(x+6)2+(y+7)2=5

Write the Equation of the Circle with the Given Center $( x + 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$