Find the standard form of the equation of the circle


Asked by wiki @ in Mathematics viewed by 207 People


Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)?

Answered by wiki @



the equation of a line that has a center at (h,k) and radius of r is

(x-h)^2+(y-k)^2=r^2

we can use the distance formula to find the radius ( I would just substitute but whatever)

distance between (-4,0) and (-2,1) is

D=\sqrt{(-4-(-2))^2+(0-1)^2}

D=\sqrt{(-4+2)^2+(-1)^2}

D=\sqrt{(-2)^2+1}

D=\sqrt{4+1}

D=\sqrt{5}

D=r

so the equation is

(x-(-4))^2+(y-0)^2=(\sqrt{5})^2

or

(x+4)^2+y^2=5


Do you know the better answer?

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