Question

equation of a circle: (x - h)^2 + (y - k)^2 = r^2. find an equation of the circle with radius 6 & center (1, - 5). #10 find an equation of the circle with radius √7 &

Explanation:

Step1: Identify values of h, k, r

Given center $(1,-5)$, so $h = 1$, $k=-5$, and radius $r = 6$.

Step2: Substitute into circle - equation formula

The equation of a circle is $(x - h)^2+(y - k)^2=r^2$. Substituting $h = 1$, $k=-5$, and $r = 6$ gives $(x - 1)^2+(y+5)^2=36$.

Answer:

$(x - 1)^2+(y + 5)^2=36$