What is the equation of the circle if the endpoints of the diameter are (9,-4) and (-3,8)?

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What is the equation of the circle if the endpoints of the diameter are (9,-4) and (-3,8)?

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MichaelMet 3 years 2021-09-04T08:53:03+00:00 1 Answers 5 views 0

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  1. Neala
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    2021-09-04T08:54:25+00:00
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    Answer:

    (x-3)² + (y+2)² = 72

    Step-by-step explanation:

    center is halfway between (9,-4) and (-3,8).

    average of x-coordinates = (9-3)/2 = 3

    average of y-coordinates = (-4+8)/2 = -2

    center: (3,-2)

    length of diameter = √[(9-(-3))²+(-4-8)²] = √288 = 12√2

    radius = 6√2

    (x-3)² + (y+2)² = (6√2)² = 72

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