A circle is graphed on a coordinate grid. Its center is at (3, 4), and the circle passes through point (3, 1). What is the approximate area, in square units, of the circle? (Use 3.14 for π.)

Respuesta :

Answer:

it is either 18.84 or 31.40

Step-by-step explanation:

just do it in your head

The area of the circle is 28.26 square units

The center of the circle is given as:

  • [tex](a,b) = (3,4)[/tex]

The circle passes through the following point

  • [tex](x,y) = (3,1)[/tex]

Start by calculating the radius using the following distance formula

[tex]r = \sqrt{(x -a)^2 + (y - b)^2}[/tex]

So, we have:

[tex]r = \sqrt{(3 -3)^2 + (4 - 1)^2}[/tex]

[tex]r = \sqrt{9}[/tex]

Square both sides

[tex]r^2 = 9[/tex]

The area of the circle is then calculated as:

  • [tex]Area = \pi r^2[/tex]

So, we have:

[tex]Area = 3.14 \times 9[/tex]

[tex]Area = 28.26[/tex]

Hence, the area of the circle is 28.26 square units

Read more about areas at:

https://brainly.com/question/15673093

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