Respuesta :

luisejr77

Answer:

The center is at [tex](2,4)[/tex]

3 units

Step-by-step explanation:

You can observe in the graph a circle.

The x-coordinate and the y-coordinate of the center of the circle shown in the figure are:

[tex]x=2[/tex] and [tex]y=4[/tex]

Therefore, the point of the center of the circle is:

[tex](2,4)[/tex]

 You can observe that the diameter goes from -1 to 5, then the diameter is:

[tex]diameter=1units+5units\\\\diameter=6units[/tex]

The radius is half the diameter. Therefore, you can say that the radius of this circle is:

[tex]radius=\frac{diameter}{2}\\\\radius=\frac{6units}{2}\\\\radius=3units[/tex]

kudzordzifrancis

ANSWER

The center is (2,4)

The radius is 2√2 units

EXPLANATION

Each of the ticks is 1 unit

Counting two ticks from the origin to the right and 4 units up will land us at the center of the circle.

Hence the center is (2,4)

The circle passes through (0,2).

The radius is

[tex]r = \sqrt{ {(2 - 0)}^{2} + {(4 - 2)}^{2} } [/tex]

[tex]r = \sqrt{8} = 2 \sqrt{2} [/tex]

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