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) (0,0) C) (-5,-4) D) (3,2) - 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) (-2,10) B) (1,5) C) (2,10) D) (-1,-5) - 4. Calculate the radius of the circle with equation (x + 2)
^{2}+ (y - 7)^{2}= 121
A) 121 B) 15 C) 11 D) 12 - 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} = 25C) (x - 1) ^{2} + (y - 1)^{2} = 5D) (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) 4 C) 3 D) √12 - 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} = 64C) x ^{2} + y^{2} = 81D) x ^{2} + y^{2} = 9- 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} =121C) x ^{2} + y^{2} + 16y - 11 = 0D) (x + 8) ^{2} + (y - 8)^{2} = 121 |

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