Question

Graph each circle given below right the center and the radius of each circle

Answer 1

The center of circle is (-1,8) and radius of circle is 1.

Explanation:

We have given an equation of circle.

(x+1)²+(y-8)² = 1

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-(-1))²+(y-8)² = (1)²

comparing above equation with standard equation, we have

(h,k) = (-1,8) and r = 1

Hence, the center of circle is (-1,8) and radius of circle is 1.

Answer 2

Center: (-1,8)

Radius: 1

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.

The equation given in the problem is

`(x +1)^(2)+(y-8)^(2)=1`

Therefore:

h=-1

k=8

Then, the center is (-1,8) and radius is 1.

You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.