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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 is _____ units. The equation of this circle in standard form is ______ .

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MissPhiladelphia

The longest chord on the circle is the diameter, and the center of the circle is the midpoint of the diameter.

Use the midpoint formula to find the center
((x1 +x2)/2 , (y1+y2)/2).. Just substitute them for the solution


the x-coordinates are the same, so you can just subtract the y-coordinates to find the radius. 
10.5 - 8 = 2.5

The equation of the circle is (x - h)² + (y - k)² = r² where r is the radius and (h, k) is the center.

(x - 4)² + (y - 8)² = 6.25

jaimeyork83jy

Answer:

The center of the circle is at the point ? , and its radius is 2.5 units. The equation of this circle in standard form is (x - 4)² + (y - 8)² = 6.25.

Step-by-step explanation:

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