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Chapter 11: Q. 37 (page 1082)

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

x2+y2=64

Short Answer

Expert verified

(a) Center of the circle x2+y2=64is (0,0)and radius is 8

(b) graph of the circle is

Step by step solution

01

Step 1. given data

The given equation of the circle is

x2+y2=64

02

Step 2. Part (a)

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

x2+y2=64(x-0)2+(y-0)2=82 (x-h)2+(y-k)2=r2

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

and radiusr=8

03

Step 3. Part (b)

Plot the circle of center (0,0)and radius 8

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