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Chapter 11: Q. 11.16 (page 1078)

鈸� Find the center and radius, then 鈸� graph the circle:(x-3)2+(y-1)2=16

Short Answer

Expert verified

The center and the radius of the circle are (3,1)and 4respectively. The graph of this circle is:

Step by step solution

01

Step 1. Given information.

The equation of the circle is (x-3)2+(y-1)2=16.

We have to find radius and center.

Also, we have to graph this circle.

02

Part (a) Step 2. Compare with the standard form of a circle to find radius and center

Write the given equation (x-3)2+(y-1)2=16in standard form (x-h)2+(y-k)2=r2.

(x-3)2+(y-1)2=42

Center=(3,1)

Radius=4

03

Part (b) Step 3. Graph the circle using radius and center

The circle is graphed as:

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