Higher: The Circle Basics
  • 1. Give the coordinate f the centre of the circle with equation x2 + y2 = 30
A) (-3,0)
B) (3,2)
C) (-5,-4)
D) (0,0)
  • 2. Give the coordinate f the centre of the circle with equation (x + 7)2 + (y + 3)2 = 45
A) (-7,3)
B) (-7,-3)
C) (7,-3)
D) (7,3)
  • 3. Give the coordinate f the centre of the circle with equation (x - 2)2 + (y - 10)2 = 17
A) (1,5)
B) (-1,-5)
C) (-2,10)
D) (2,10)
  • 4. Calculate the radius of the circle with equation (x + 2)2 + (y - 7)2 = 121
A) 15
B) 11
C) 12
D) 121
  • 5. Calculate the radius of the circle with equation (x - 5)2 + (y - 1)2 = 17
A) 17
B) √17
C) √13
D) 7
  • 6. A circle with its centre at (1,1) and with a radius of 5 has the equation:
A) (x + 1)2 + (y + 1)2 = 25
B) (x - 1)2 - (y - 1)2 = 25
C) (x - 1)2 + (y - 1)2 = 25
D) (x - 1)2 + (y - 1)2 = 5
  • 7. Calculate the radius of the circle with equation x2 - 8x + y2 + 2y + 8 = 0
A) 4
B) √3
C) 3
D) √12
  • 8. Give the coordinate f the centre of the circle with equation x2 - 8x + y2 + 2y + 8 = 0
A) (-4,1)
B) (8,-2)
C) (4,-1)
D) (-8, 2)
  • 9. A circle with its centre at (0,0) and with a radius of 9 has the equation:
A) x2 + y2 = 9
B) x2 - y2 = 81
C) x2 + y2 = 64
D) x2 + y2 = 81
  • 10. A circle with its centre at (0,-8) and with a radius of 11 has the equation:
A) (x + 8)2 + (y - 8)2 = 121
B) x2 + (y + 8)2 = 121
C) x2 + y2 =121
D) x2 + y2 + 16y - 11 = 0
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