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Name:
Unit 10: Circles
Date:
Per
Homework 9: Standard Form of a Circle.
** This is a 2-page document! **
Directions: Graph each circle and identify its center and radius.
1. (7-6) + (x - 1) = 9
2. (x-2) + ( + 3) = 36
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Center:
Center:
st ccm
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Radius:
Radius:
M
3.8+(+2) - 64
4. (x + 4)' +(3-5) = 25
Center
Center

lol Name Unit 10 Circles Date Per Homework 9 Standard Form of a Circle This is a 2page document Directions Graph each circle and identify its center and radius class=

Respuesta :

facundo3141592

The centers and radius for the equations are:

  • 1) (1, 6) and radius 3
  • 2) (2, -3) and radius 6
  • 3) (-4, 5) and radius 5

And the circles are in the graph below.

How to identify the center and radius of a circle?

A general circle equation centered at the point (a, b), with a radius of R, is written as:

(x - a)^2 + (y - b)^2 = R^2

Then for the given equations we have:

1) (y-6)^2 + (x - 1)^2 = 9

So the center is at (1, 6) and the radius is 3.

2)  (x-2)^2 + (y + 3)^2 = 36 = 6^2

So the center is at (2, -3) and the radius is 6.

3) (x + 4)^2 +(y-5)^2 = 25 = 5^2

So the center is at (-4, 5) and the radius is 5.

The graphs of the 3 circles can be seen below. Green is the first circle, blue is the second circle, and red is the last circle.

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324

Ver imagen facundo3141592

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