A circle is defined by the equation: x^2 + y^2 - x - 2y - 11/4 = 0. Determine the coordinates for the center of the circle and the length of the radius.

Question

Mathematics

Ulises

26 June, 21:17

A circle is defined by the equation: x^2 + y^2 - x - 2y - 11/4 = 0. Determine the coordinates for the center of the circle and the length of the radius.

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Danna · Answer 1

x^2 + y^2 - x - 2y - 11/4 = 0

x^2 - x + y^2 - 2y = 11/4

Using completing the square method:

x^2 - x + 1/4 + y^2 - 2y + 1 = 11/4 + 1 + 1/4

(x - 1/2) ^2 + (y - 1) ^2 = 4

coordinates: (1/2, 1)

radius: sqrt (4)