Question

Write an equation in standard form of the circle with the given properties. Center at (0,9); r = 7?

Answer 1

Given the center of the circle = ( 0 , 9 ) and the radius = r = 7

The general equation of the circle is :

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

Where: (h,k) are the coordinates of the circle and r is the radius

so, (h,k) = ( 0,9) and r = 7

substitute with the values of h, k, and r

so, the equation of the circle will be :

`\begin{gathered} (x-0)^2+(y-9)^2=7^2 \\ \\ x^2+(y-9)^2=49 \end{gathered}`