Question

find the center and radius of each then sketch the graph

Answer 1

Answer:

Centre: (2, 1)

Radius: 7

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.