Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer:

Center: (-1,8)

Radius: 1

The graph is attached.

Step-by-step 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.