Question

Graph each circle given below. write the center and the radius of each circle x2+y2=9

Answer 1

The center of circle is (0,0) and radius of circle is 3.

Explanation:

We have given an equation of circle.

x²+y² = 9

We have to plot the graph of circle.

(x-h)²+(y-k)² = r² where (h,k) is center and r is radius of circle.

Given equation is (x-0)²+(y-0)² = (3)²

comparing above equation with standard equation, we have

(h,k) = (0,0) and r = 3

Hence, the center of circle is (0,0) and radius of circle is 3.

Answer 2

Center: (0,0)

Radius: 3

The graph is attached.

Explanation:

The equation of the circle has the form:

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

Where (h,k) is the point of the center of the circle and r is the radius of the circle.

If the center is at (0,0) and the radius is 3, you obtain the equation given in the problem:

`(x -0)^(2)+(y-0)^(2)=3^(2)`

`x^(2)+y^(2)=9`

Therefore, the center is (0,0) and radius is 3.

You can graph the circle with its center at the origin and a radius of 3 as you can see in the figure attached.