Question

Use the information provided to write the equation of circle Center:(55,-66)Radius:19

Answer 1

`(x-55)^2+(y+66)^2=\text{ }361`

Step-by-step explanation

The general equation of a circle is expressed as;

`(x-a)^2+(y-b)^2=r^2`

where;

(a, b) is the centre

r is the radius

Given

Centre = (55, -66)

Radius = 19

Substitute into the expression

`\begin{gathered} (x-55)^2_{}+(y-(-66))^2=19^2 \\ (x-55)^2+(y+66)^2=\text{ }361 \end{gathered}`

This gives the required equation