Question

Identify the center and radius of a circle given the equation is (x - 2)2 + (y + 4)2 = 36

Answer 1

The equation for the circle is given by:

`\left(x-h\right)^2+(y-k)^2=r^2`

Where (h,k) is the center and r represents the radius.

Now, if we look at the given equation:

`\left(x-2\right)^2+(y+4)^2=36`

For h:

h = 2

For k:

k=-4

for r:

r²=36

r=√36

r =6

Hence, the center is (2,-4) and the radius is 6.

The correct answer is option b.