Question

What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?

Answer 1

Hi there! The answer is ( - 7, 5)

The standard form of the equation of a circle is the following:
$(x - a) {}^{2} + (y - b) {}^{2} = r {}^{2}$

In this equation r represents the radius of the circle and the point (a, b) is its centre.

Therefore, the centre of the circle
$(x + 7) {}^{2} + (y - 5) {}^{2} = 16$
is the point ( - 7, 5).