In a topographical map of a city, the vertices of the city limits are A (10, 9), B (18, 9), C (18, 2), D (14, 4.5), and E (10, 4
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ANSWER
EXPLANATION
The equation of the circle with radius r and centre (a,b) is given by
The radius is
We need to determine the center of the circle from the given equation of another circle, which is,
We complete the square to obtain,
The centre of this circle is (4,3)
Hence the center of the circle whose equation we want to find is also (4,3).
With this center and radius 2, the required equation is,
Therefore the correct answer is C.
EXPLANATION
The equation of the circle with radius r and centre (a,b) is given by
The radius is
We need to determine the center of the circle from the given equation of another circle, which is,
We complete the square to obtain,
The centre of this circle is (4,3)
Hence the center of the circle whose equation we want to find is also (4,3).
With this center and radius 2, the required equation is,
Therefore the correct answer is C.