Respuesta :

Answer:(x-5)^2+(y-4)^2=49

Step-by-step explanation:

equation of a circle is:

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

(x-5)^2+(y-4)^2=7^2

(x-5)^2+(y-4)^2=7x7

(x-5)^2+(y-4)^2=49

The equation of the circle of center (5, 4) and radius 7, is:

(x - 5)^2 + (y - 4)^2  = 49

How to find the equation of the circle?

The general equation for a circle of radius R centered at the point (a, b) is:

(x - a)^2 + (y - b)^2 = R^2

In this case, the center is (5, 4) and the radius is 7, so we need to replace:

a = 5

b = 4

R = 7

Then the equation is:

(x - 5)^2 + (y - 4)^2 = 7^2 = 49

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324

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