Question

Write the standard form of the equation of the circle with its center at (-5,0) and a radius of 8 what is the equation of the circle in standard form

Answer 1

`\large\boxed{(x+5)^2+y^2=64}`

Explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

We have the center (-5, 0) and the radius r = 8. Substitute:

`(x-(-5))^2+(y-0)^2=8^2\\\\(x+5)^2+y^2=64`