Question

Write the equation of the circle:
center: (-9, 0), diameter: 10

Answer 1

`(x+9)^2+y^(2)=25`

Explanation:

The equation of a circle is
`(x-h)^2+(y-k)^2=r^2` where
`(h,k)` is the center of the circle and
`r` is the radius of the circle.

Given the circle's diameter is
`d=10`, then its radius is
`r=(10)/(2)=5`.

Therefore, the equation of the circle is
`(x+9)^2+y^(2)=25`