Question

Find the center and radius of the following circle. Then graph the circle.(×+4)2+y2=7

Answer 1

Given:

Equation of a circle

$(x+4)^2+y^2=7$

Required:

Find the center and radius of the circle. Then graph of circle.

Explanation:

We have a standard equation of circle

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

Whose radius is (h, k) and radius r.

We have equation of a circle

$(x+4)^2+y^2=7$

Now, we will compare with standard equation of a circle

$We\text{ will get center\lparen-4, 0\rparen and radius }\sqrt{7}.$

Graph of circle is

Answer:

Hence, this is the answer.