Question

The center is a(?,?)
The radius is _____ units.

Answer 1

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

`r = \sqrt{ {(2 - 0)}^(2) + {(4 - 2)}^(2) }`

`r = √(8) = 2 √(2)`

Answer 2

The center is at
`(2,4)`

3 units

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:

`x=2` and
`y=4`

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

`(2,4)`

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

`diameter=1units+5units\\\\diameter=6units`

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

`radius=(diameter)/(2)\\\\radius=(6units)/(2)\\\\radius=3units`