Respuesta :

This is actually quite comical as I just had a DBA concerning equations of circles so, I'm pretty sure I'm qualified to help you.

Equation of a Circle: (x-h)²+(y-k)²=r² where (h, k) is the center and r is the radius.

So, all we need to do is plug in your info:

(x+3)²+(y+2)²=5²

And, there goes your answer.

The Equation of Circle with center (-3, -2) and radius 5 is (x+3)²+(y+2)²=25.

What is Circle?

A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.

Here,

Equation of a Circle:

                               (x-h)²+(y-k)²=r²

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

So, all we need to put the value of h, k and r in equation of circle:

                                (x+3)²+(y+2)²=5²

                                 (x+3)²+(y+2)²=25

Thus, the Equation of Circle with center (-3, -2) and radius 5 is (x+3)²+(y+2)²=25.

Learn more about Equation of circle from:

https://brainly.com/question/10618691

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