Question

The equation of a circle is given below. (x+4)^{2}+(y-6)^{2} = 48 what is the radius

Answer 1

Answer:

The radius is 4$\sqrt{3}$ because the equation of a circle is (x-h)^2 + (y-k)^2 = r^2 You get 4$\sqrt{3}$ from taking the square root of 48

Step-by-step explanation:

Answer 2

Step-by-step explanation:

The given equation of circle is:

${(x + 4)}^{2} + {(y - 6)}^{2} = 48 \\ \\ equating \: it \: with \: standard \: form \: of \: \\circle \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ we \: find \: \\ {r}^{2} = 48 \\ \therefore \: r = \sqrt{48} \\ \\ \therefore \: r = \sqrt{16\times 3}\\ \therefore \: r = 4\sqrt{3} \:units \\ \therefore \: r = 6.92820323 \\ \huge \red{ \boxed{\therefore \: r \approx 6.93 \: units}}$