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Chapter 11: Q. 29 (page 1082)

In the following exercises, (a) find the center and radius, then (b) graph each circle.

(x+5)2+(y+3)2=1

Short Answer

Expert verified

Part a. The center of the circle is (-5,-3)and the radius is1.

Part b. The graph of the circle is

Step by step solution

01

Part a Step 1. Given Information

The given equation is (x+5)2+(y+3)2=1.

We have to find the center and radius.

02

Part a Step 2. Identifying the center, (h,k) and radius, r

To identify the center and radius we will use the standard form of the equation of a circle.

The standard form of the equation of a circle is (x-h)2+(y-k)2=r2.

By comparing the given equation with standard form of the equation we get,

h=-5k=-3r=1

Thus, the center of the circle is (-5,-3)and the radius is1.

03

Part b Step 1. Given Information

The given equation is (x+5)2+(y+3)2=1.

We have to graph the circle.

04

Part b Step 2. Graph the circle

By using the equation of the circle, the graph is

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