Higher: The Circle Basics

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

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