Question

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

Answer 1

Answer:

$(x+9)^2+y^{2}=25$

Step-by-step 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 $r=\frac{10}{2}=5$.

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