Question

I need help to solve by using the information provided to write the equation of each circle! Thanks

Answer 1

Step-by-step explanation

For the first question

We are asked to write the equation of the circle given that

`\begin{gathered} center:(13,-13) \\ Radius:4 \end{gathered}`

The equation of a circle is of the form

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

In our case

`\begin{gathered} a=13 \\ b=-13 \\ r=4 \end{gathered}`

Substituting the values

`(x-13)^2+(y+13)^2=4^2`

For the second question

Given that

`(18,-13)\text{ and \lparen4,-3\rparen}`

We will have to get the midpoints (center) first

`(18+4)/(2),(-13-3)/(2)=(22)/(2),(-16)/(2)=(11,-8)`

Next, we will find the radius

Using the points (4,-3) and (11,-8)