santiagocelia832
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Determine the equation of the circle graphed below.
y
10
8
6
o
2
-10
-8
-6
4
-2
4
6
8
10
-2
-6
-10

Determine The Equation Of The Circle Graphed Below Y 10 8 6 O 2 10 8 6 4 2 4 6 8 10 2 6 10 class=

Sagot :

Nayefx

Answer:

(x-7)²+(y-4)²=3²

Step-by-step explanation:

to understand this

you need to know about:

  • circle equation
  • PEMDAS

tips and formulas:

  • circle equation standard form: (x-a)²+(y-b)²=r²

given:

  • (a,b)=(7,4)
  • r=3

let's solve:

  1. substitute the values of a,b and r :(x-7)²+(y-4)²=3³

and

we are done

View image Nayefx
MrRoyal

The equation of a circle is a measure of its center and its radius.

The equation of the circle is: [tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]

The general equation of a circle is [tex](x - a)^2 + (y - b)^2 + r^2[/tex]. Where:

[tex](a,b) \to[/tex] center

[tex]r \to[/tex] radius

From the given figure, we have:

[tex]r = 3[/tex]

[tex](a,b) = (7,4)[/tex]

So, the equation of the circle is:

[tex](x - a)^2 + (y - b)^2 + r^2[/tex]

[tex](x - 7)^2 + (y - 4)^2 = 3^2[/tex]

[tex](x - 7)^2 + (y - 4)^2 = 9[/tex]

Open brackets

[tex]x^2 - 14x + 49 + y^2 -8y + 16 = 9[/tex]

Collect like terms

[tex]x^2 + y^2 - 14x -8y + 49 + 16 - 9 = 0[/tex]

[tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]

Hence, the equation of the given circle is: [tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]

Read more about equations of circles at:

https://brainly.com/question/23988015

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.