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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21-11-2016
Mathematics

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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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scme1702 scme1702 · Answer 1 · 2016-11-23T09:37:47+01:00

scme1702 scme1702

23-11-2016

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

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