Question

A circle on the coordinate plane has a diameter

Answer 1

9514 1404 393

Answer:

  a. (10.5, 8)

  b. 9

  c. 4.5

  d. (10.5, 12.5)

Step-by-step explanation:

a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.

  C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center

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b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter

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c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius

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d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle