ostrom99 ostrom99
  • 03-10-2018
  • Mathematics
contestada

find an equation of the circle whose diameter has endpoints (3,5) and (3,-4)

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sqdancefan
sqdancefan sqdancefan
  • 03-10-2018

The diameter is a vertical line (x=3) and is of length 9 (= 5-(-4)). The radius is half the diameter (so is 4.5), and the center is 4.5 units above the bottom end of the diameter, so is at (3, 0.5). The square of the radius will be 4.5² = 20.25.

A circle with center (h, k) and radius r has formula

... (x -h)² +(y -k)² = r²

The equation of this circle can be written as

... (x -3)² +(y -0.5)² = 20.25

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