Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of a diameter. ...?

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asked Nov 9, 2017 30.0k views

1 Answer

Mdegis · Answer 1 · 2017-11-15T07:11:30+0000

The equation of a circle is in the form:
x² + y² = r²; where r is the radius.
We find the diameter using the distance formula:
D = √[(-4 - 6)² + (4 + 2)²]
D = 2√(34)
r = D/2 = √(34)

x² + y² = [√(34)]²
x² + y² = 34

Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of a diameter. ...?

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