Question

Please help me asap!!!!

Answer 1

The correct answer option is d.
`x^2+y^2-8x+4y-80=0`

Explanation:

We are given the center of the circle at (4, -2) with a radius of 10 units and we are to find the equation of the circle with the help of this.

We know the standard form of the equation of a circle is:

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

So putting in the values of the coordinates of the center
`(h, k)` and radius.

`(x-4)^2+(y+2)^2=10^2`

Expanding the formulas to get:

`(x^2+8x+16)+(y^2+4y+4)=100`

Adding the like terms together to get:

`x^2-8x+y^2+4y+16+4-100=0`

`x^2+y^2-8x+4y-80=0`