Circles: Equations of Circles

## Difficult

Q1) What is the equation of a circle, of centre (5,7) with radius 5?
Q1) Find the coordinates of the centre and radius of the circle of equation ${(x-1)}^2+{(y-2)}^2=16$ .
Q1) Find the coordinates of the centre and radius of the circle of equation $x^2 +y^2-8x -20y = -52$.
Q2) What is the equation of a circle, of centre (3,6) with radius 7?
Q2) Find the coordinates of the centre and radius of the circle of equation ${(x-1)}^2+{(y-2)}^2=25$ .
Q2) Find the coordinates of the centre and radius of the circle of equation $x^2 +y^2-18x -8y = -61$.
Q3) What is the equation of a circle, of centre (2,10) with radius 9?
Q3) Find the coordinates of the centre and radius of the circle of equation ${(x-10)}^2+{(y-7)}^2=36$ .
Q3) Find the coordinates of the centre and radius of the circle of equation $x^2 +y^2-18x -8y = -72$.
Q4) What is the equation of a circle, of centre (4,7) with radius 10?
Q4) Find the coordinates of the centre and radius of the circle of equation ${(x-4)}^2+{(y-7)}^2=100$ .
Q4) Find the coordinates of the centre and radius of the circle of equation $x^2 +y^2-6x -6y = -2$.
Q5) What is the equation of a circle, of centre (4,7) with radius 8?
Q5) Find the coordinates of the centre and radius of the circle of equation ${(x-2)}^2+{(y-6)}^2=25$ .
Q5) Find the coordinates of the centre and radius of the circle of equation $x^2 +y^2-14x -12y = -60$.