Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )$$
A) $( x + 7 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 19$
B) $( x - 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 361$
C) $( x + 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 361$
D) $( x - 7 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 19$

Question

Quizplus · Accepted Answer

The standard form of the equation of a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. Given $r = \sqrt{19}$, $h = 7$, and $k = -10$, the equation becomes $(x - 7)^2 + (y + 10)^2 = 19$.

Write the Standard Form of the Equation of the Circle r=19;(h,k)=(7,−10)\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )r=19​;(h,k)=(7,−10)

Write the Standard Form of the Equation of the Circle $\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )$