Question

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

Answer 1

The equation of the given circle is
`(x-6)^(2)+(y+9)^(2)=100.`

Explanation:

Step 1:

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

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

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
`r =10` and
`r^(2) = 100.`

Step 2:

By substituting the values we know, we get

`(x-h)^(2)+(y-k)^(2)=r^(2) = (x-6)^(2)+(y-(-9))^(2)=10^(2).`

So the equation of the given circle is

`(x-6)^(2)+(y+9)^(2)=100.`