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

Step 1. Given information

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

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

${(x - 4)}^{2} + {(y + 2)}^{2} = 4^{2}$

On comparing with the standard form of equation ${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$ ,

$h = 4 k = - 2 r = 4$

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

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

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In the following exercises, (a) find the centre and radius, then (b) graph each circle.
${(x - 4)}^{2} + {(y + 2)}^{2} = 16$

Short Answer

Step by step solution

Step 1. Given information

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

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

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In the following exercises, (a) find the centre and radius, then (b) graph each circle.(x-4)2+(y+2)2=16

Short Answer

Step by step solution

Step 1. Given information

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Probability and Statistics

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, (a) find the centre and radius, then (b) graph each circle.
${(x - 4)}^{2} + {(y + 2)}^{2} = 16$