Question

Write an equation of the circle

Answer 1

Take into account that the general equation of a circle is given by:

(x - h)² + (y - k)² = r²

where h and k are the values of the coordinates of the point (h,k), which is the center of the circle in the coordinate system.

You can notice in the given image, that the center of the circle is the point (5,4), then, the values of k and h are:

h = 5

k = 4

moreover, you can notice that the radius of the circle is 4, then

r = 4

replace the values of h, k and r in the equation of a circle:

`\begin{gathered} (x-5)^(2)+(y-4)^(2)=4^(2) \\ (x-5)^(2)+(y-4)^(2)=16 \end{gathered}`

The last equation is the required expression for the equation of the given circle.