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Chapter 11: Q. 31 (page 1082)

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

(x-4)2+(y+2)2=16

Short Answer

Expert verified

The centre of circle is (4,-2) and radius is 4.

Step by step solution

01

Step 1. Given information

The given equation of circle is(x-4)2+(y+2)2=16

02

Step 2. Part (a) Find the centre and radius of circle.

(x-4)2+(y+2)2=42

On comparing with the standard form of equation (x-h)2+(y-k)2=r2,

h=4k=-2r=4

Therefore, the centre of circle is (4,-2)and radius is 4.

03

Step 3. Part (b) The graph of circle.

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