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In the following exercises, 鈸 find the center and radius, then 鈸 graph each circle.

6x2+6y2=216

Short Answer

Expert verified

(a) Center of the circle 6x2+6y2=216is(0,0)and the radius is 6

(b) Graph of the circle is

Step by step solution

01

Step 1. given data

The given equation of the circle is

6x2+6y2=216

02

Step 2. Part (a)

Compare the equation of the circle with the standard equation of the circle

6x2+6y2=2166x2+y2=6(36)x2+y2=36(x-0)2+(y-0)2=62(x-h)2+(y-k)2=r2

so center(h,k)=(0,0)

and radiusr=6

03

Step 3. Part (b)

Plot the circle of center (0,0)and radius6

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