Question

The center of a circle is located at the point (1,1). The point (1,5) is located on the circle. What is the radius of the circle? What is the equation for the graph of the circle?

Answer 1

The radius of the circle is 4.

`(x -1)^(2)` +
`(y - 5)^(2)` = 16

Explanation:

The Radius:

The radius is found from the points (1,1) the center of the circle and the point (1,5) that is on the circle. The vertical difference is 4 and that tis the radius.

The Equation:

The standard from of the equation for a circle is

`(x - h)^(2)` +
`(y - k)^(2)` =
`r^(2)` The (h,k) is (1,5) and the radius is 4

`(x - 1)^(2)` +
`(y - 5)^(2)` = 16

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