Question

write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). then graph the circle. r = 10; (h,k)=(-6,8) the standard form of the equation of this circle is (x + 6)^2+(y - 8)^2 = 100. the general form of the equation of this circle is (simplify your answer.)

Explanation:

Step1: Expand the standard - form equation

$$
LATEXBLOCK0
$$

Step2: Simplify to get the general form

$$ x^{2}+y^{2}+12x-16y+36 + 64-100=0 $$

$$ x^{2}+y^{2}+12x-16y=0 $$

Answer:

\(x^{2}+y^{2}+12x - 16y=0\)