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Create the equation of a circle that has a center at (1,3) and a radius of 4 units.


Sagot :

The equation of the circle centered at (1, 3) with a radius of 4 units is:

(x - 1)^2 + (y - 3)^2 = 16

How to write the equation of a circle?

For a circle with the center on the point (a, b) and radius R, the equation is:

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

In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.

(x - 1)^2 + (y - 3)^2 = 4^2

(x - 1)^2 + (y - 3)^2 = 16

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

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