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Chapter 11: Q. 11.15 (page 1078)

鈸� Find the center and radius, then 鈸� graph the circle:(x-3)2+(y+4)2=4

Short Answer

Expert verified

The center and the radius of the circle are (3,-4)and 2respectively. 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+4)2=4.

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+4)2=4in standard form (x-h)2+(y-k)2=r2.

(x-3)2+(y+4)2=4(x-3)2+(y-(-4))2=22

Therefore,

Centerrole="math" localid="1645258175838" =(3,-4)

Radius=2

03

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

The circle is graphed as:

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