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Equation of the circle is .
Solution:
The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).
Center of the circle = Mid point of the diameter
Mid point formula:
Here,
Center of the circle = (–6, –10)
Radius is the distance between center and any endpoint of the diameter.
To calculate the radius using distance formula.
Here,
units
The standard form of the equation of a circle is
, where (a, b) are center and r is the radius.
Here, center = (–6, –10) and
Equation of the circle is .