Mr Daniels Maths
Circles: Equations of Circles

Set 1

Set 2

Set 3

Q1) What is the equation of a circle, with centre (3,1) and radius 9? [ \({(x-3)}^2+{(x-1)}^2=81\)]

Q1) Find the coordinates of the centre and radius of the circle of equation \({(x-7)}^2+{(y-9)}^2=36\) . [ Centre (7,9) with radius 6]

Q1) Find the coordinates of the centre and radius of the circle of equation \(x^2 +y^2-12x -2y = 27 \). [ Centre (6,1) with radius 8. \({(x-6)}^2+{(x-1)}^2=64\) .]

Q2) What is the equation of a circle, with centre (1,5) and radius 6? [ \({(x-1)}^2+{(x-5)}^2=36\)]

Q2) Find the coordinates of the centre and radius of the circle of equation \({(x-5)}^2+{(y-1)}^2=36\) . [ Centre (5,1) with radius 6]

Q2) Find the coordinates of the centre and radius of the circle of equation \(x^2 +y^2-8x -6y = -9 \). [ Centre (4,3) with radius 4. \({(x-4)}^2+{(x-3)}^2=16\) .]

Q3) What is the equation of a circle, with centre (10,7) and radius 10? [ \({(x-10)}^2+{(x-7)}^2=100\)]

Q3) Find the coordinates of the centre and radius of the circle of equation \({(x-10)}^2+{(y-7)}^2=49\) . [ Centre (10,7) with radius 7]

Q3) Find the coordinates of the centre and radius of the circle of equation \(x^2 +y^2-10x -18y = -90 \). [ Centre (5,9) with radius 4. \({(x-5)}^2+{(x-9)}^2=16\) .]

Q4) What is the equation of a circle, with centre (7,10) and radius 10? [ \({(x-7)}^2+{(x-10)}^2=100\)]

Q4) Find the coordinates of the centre and radius of the circle of equation \({(x-5)}^2+{(y-7)}^2=100\) . [ Centre (5,7) with radius 10]

Q4) Find the coordinates of the centre and radius of the circle of equation \(x^2 +y^2-20x -4y = -68 \). [ Centre (10,2) with radius 6. \({(x-10)}^2+{(x-2)}^2=36\) .]

Q5) What is the equation of a circle, with centre (3,8) and radius 4? [ \({(x-3)}^2+{(x-8)}^2=16\)]

Q5) Find the coordinates of the centre and radius of the circle of equation \({(x-4)}^2+{(y-4)}^2=36\) . [ Centre (4,4) with radius 6]

Q5) Find the coordinates of the centre and radius of the circle of equation \(x^2 +y^2-6x -20y = -9 \). [ Centre (3,10) with radius 10. \({(x-3)}^2+{(x-10)}^2=100\) .]