Question #988

Find the centre and the radius of the given circles:

1. (x-1)2 +(y+1)2 = 1

2. x2 +y2 = 4

1. (x-1)2 +(y+1)2 = 1

2. x2 +y2 = 4

Expert's answer

The equation of the circle is (x-a)^{2} + (y-b)^{2} = R^{2}, where (a,b) - are the coordinates of the center, R - radius.

Thus

1. (1,-1) - the centre, R = 1

2. (0,0) - the centre, R = 2

Thus

1. (1,-1) - the centre, R = 1

2. (0,0) - the centre, R = 2

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