Question

What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm? Question 1 options: open parentheses x minus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 81 open parentheses x plus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 3 open parentheses x plus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 81 open parentheses x minus 4 close parentheses squared plus open parentheses y plus 6 close parentheses squared equals 3

Answer 1

`(x+4)^2+(y-6)^2=81`

Explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius
`r` units is given by;

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

We substitute the radius and the center to obtain;

`(x+4)^2+(y-6)^2=9^2`

The required equation is:

`(x+4)^2+(y-6)^2=81`