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The equation of a circle is (x-2)2+(y+3)2=26. What are the coordinates of the center of the circle?

Respuesta :

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The circle's centre will lie at (2,-3).

What is the equation of the circle with radius r units, centred at (x,y)?

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of a circle is (x-2)²+(y+3)²=26. Compared with the equation of the circle. The circle's centre will lie at (2,-3).

Hence, the circle's centre will lie at (2,-3).

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