Quick me♡
☆geometry☆

using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit.

x2 − 4x + y2 + 8y = −4 (10 points)

Center: (2,-4)

Radius: 4

Step-by-step explanation:

Equation Of The Circle

A circle centered in (a,b) and radius r can be expressed in the form

It's called the canonical form. The equation may be provided in other forms. In such cases, we must convert to canonical form by completing squares

The equation of the circle is given by

The first part must be completed by adding 4 and the second by adding 16

Comparing with the general equation we have

Center: (2,-4)

Radius: 4

go and ask your mom to you