Sche5ldamsmrcykerbe Sche5ldamsmrcykerbe
  • 21-11-2016
  • Mathematics
contestada

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

Respuesta :

scme1702
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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