Select the correct answer from each drop-down menu.

the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
the center of the circle is at the point , and its radius units. the equation of this circle in standard form is

options for first blank- (-4, 6.75), (4,8), (4, 9.25), (4, 16)
options for second blank- 1.25, 2.5, 3.75, 6.25
options for third blank- (x-4)^2+(y-8)^2=2.5,
(x+4)^2+(y+8)^2=2.5,
(x-4)^2+(y-8)^2=6.25
(x+4)^2+(y+8)^2=6.25

Center: (4,8)

Radius: 2.5

Equation:

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

The center is at;

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

The equation of the circle in standard form is given by;

We substitute the center and the radius into the formula to get;

answer: 0.64

step-by-step explanation: