Question

Find the center and radius of each then sketch the graph

Answer 1

Centre: (2, 1)

Radius: 7

Step-by-step explanation:

If we have an equation of the form

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

then the centre of the circle is located at (a, b) and the radius is r.

Now, in our case we have

`\mleft(x-2\mright)^2+\mleft(y-1\mright)^2=49`

which can be rewritten as

`\mleft(x-2\mright)^2+\mleft(y-1\mright)^2=7^2`

which tells us that the centre is at (2, 1) and the radius is 7.

The graph is attached below.