Write an equation of the circle with center 6.-9) and radius 10!

The equation of the given circle is

Step-by-step explanation:

Step 1:

The equation of a circle with its center at (h, k) and a radius of r is given by

The h value is the x coordinate and the k value is the y coordinates, so (h, k) is (6, -9).

The radius is given as 10 so and

Step 2:

By substituting the values we know, we get

So the equation of the given circle is

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)