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
Accepted Solution
A:
Answer:[tex](x+4)^2+(y-6)^2=81[/tex]Step-by-step 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 [tex]r[/tex] units is given by;[tex](x-h)^2+(y-k)^2=r^2[/tex]We substitute the radius and the center to obtain;[tex](x+4)^2+(y-6)^2=9^2[/tex]The required equation is:[tex](x+4)^2+(y-6)^2=81[/tex]