Question

Find the center and radius of the circle. Show all work

Answer 1

Answer:

centre (-1,-2) and radius=5

Answer 2

The center is (-1, -2) and the radius of the circle is 5.

What is the equation of a circle?

The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.

A circle can be represented as;

$\rm (x-h)^2+(y-k)^2=r^2$

Where; h and k are the center of the circle r is the radius of the circle.

The given equation of the circle is;

$\rm (x+1)^2+(y+2)^2=25$

Comparing both the equations;

$\rm (x+1)^2+(y+2)^2=25\\\\\rm (x+1)^2+(y+2)^2=5^2\\\\h = -1\\\\k = -2\\\\r^2=5^2\\\\r=5$

Hence, the center is (-1, -2) and the radius of the circle is 5.

Learn more about circle here;

brainly.com/question/11833983

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