Circles A Levels

What is the equation of a circle with center (2, -3) and radius 5?

• (x - 2)^2 + (y + 3)^2 = 5

• (x + 2)^2 + (y - 3)^2 = 25

• (x - 2)^2 + (y + 3)^2 = 25

• (x + 2)^2 + (y - 3)^2 = 5

Find the equation of a circle with center (-1, 4) and passing through the point (3, -2).

• (x-1)^2 + (y-4)^2 = 48

• (x-1)^2 + (y+4)^2 = 52

• (x+1)^2 + (y-4)^2 = 52

• (x+1)^2 + (y+4)^2 = 52

What is the equation of a circle with center (0, 0) and radius 7?

• x^2 + y^2 = 49

• x^2 + y^2 = 36

• x^2 + y^2 = 64

• x^2 + y^2 = 25

Find the equation of a circle with center (5, -2) and tangent to the line y = 3x + 1.

• (x - 5)^2 + (y + 2)^2 = (4 / sqrt(10))^2

• (x - 5)^2 + (y + 2)^2 = (16 / sqrt(10))^2

• (x - 5)^2 + (y + 2)^2 = (9 / sqrt(10))^2

• (x - 5)^2 + (y + 2)^2 = (25 / sqrt(10))^2

What is the equation of a circle with center (-3, 2) and passing through the point (1, -4)?

• (x + 3)^2 + (y + 2)^2 = 52

• (x + 3)^2 + (y - 2)^2 = 52

• (x - 3)^2 + (y - 2)^2 = 52

• (x - 3)^2 + (y + 2)^2 = 52

Find the equation of a circle with center (2, 5) and radius 3.

• (x-2)^2 + (y-5)^2 = 9

• (x-2)^2 + (y+3)^2 = 9

• (x-5)^2 + (y-2)^2 = 3

• (x+2)^2 + (y+5)^2 = 9

What is the equation of a circle with center (1, -1) and radius 2?

• (x-1)^2 + (y+1)^2 = -4

• (x+1)^2 + (y-1)^2 = 4

• (x-1)^2 + (y+1)^2 = 4

• (x+1)^2 + (y-1)^2 = -4

Find the equation of a circle with center (-2, 3) and passing through the point (4, 1).

• (x-2)^2 + (y+3)^2 = 40

• (x+2)^2 + (y+3)^2 = 40

• (x-2)^2 + (y-3)^2 = 4

• (x+2)^2 + (y-3)^2 = 40

What is the equation of a circle with center (0, 0) and radius 10?

• x^2 + y^2 = 10

• x^2 + y^2 = 20

• x^2 + y^2 = 50

• x^2 + y^2 = 100

Find the equation of a circle with center (3, -4) and tangent to the line y = -2x + 5.

• (x - 3)^2 + (y + 4)^2 = 4 / 5

• (x - 3)^2 + (y + 4)^2 = 5 / 4

• (x - 3)^2 + (y + 4)^2 = 1 / 5

• (x - 3)^2 + (y + 4)^2 = 1 / 4