find the center and radius of circle

Question

find the center and radius of the circle with equation x^2 + y^2=2x-2y+7

Answer 1

Change to x^2 - 2x + y^2 + 2y = 7, then complete the square with both x and y.

(x^2 - 2x + 1) + (y^2 + 2y + 1) = 7+1+1

(x-1)^2 + (y+1)^2 = 9

so center is (1,-1) and radius is 3 since (x-h)^2 + (y-k)^2 = r^2

Answer 2

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Answer 3

the radious of a circle is 21cm , an arc AB subtened an angle at the centre O. find the angle if length of the arc AB is given by 27.5cm

Answer 4

the center and the radius of the equation is

c(2,2) r=7