Question

What is the center and radius of the circle with the given equation (x-1)^2+(y+1)^2=4?

Answer 1

Hi there! The centre of this circle is (1, -1) and the radius is 2.

The standard form of a circle's formula is
$(x - a) {}^{2} + ( {y - b)}^{2} = r {}^{2}$

With a and b representing the coordinates of the centre and r representing the radius of the circle. Since in this situation r^2 equals 4, the radius (r) has to be 2.

Answer 2

The center is x = 1, y = -1.
The radius is 2.