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