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- 1. Multiple ChoiceIn the equation (x-3)2+(y-2)2=16, the center of the circle is...(3,2)(-3, -2)(-2, -3)(2, 3)
- 2. Multiple ChoiceIn the equation (x+2)2+(y-3)2=4, the radius of the circle is...42316
- 3. Multiple ChoiceIn the equation (x-4)2+(x-3)2=25, the center of the circle is at...(-3, -4)(4, 3)(-4, -3)(3, 4)
- 4. Multiple ChoiceWrite the standard equation of the circle with the given center and radius; center (0,0) and radius: 3x2+y2=3x2+y2=6x2+y2=9
- 5. Multiple Choice
See PictureABCD - 6. Multiple ChoiceThe diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.(x - 2)2 + (y + 5)2 = 36(x - 5)2 + (y + 2)2 = 6(x + 5)2 + (y - 2)2 = 36(x + 2)2 + (y - 5)2 = 6
- 7. Multiple ChoiceFind the equation of the circle with center (−8,3) and (2,−5) is on the circle?
Hint: you need to find the radius by plugging in values for four variables
x=
y=
h=
k=
in (x-h)2+(y-k)2=r2(x+8)2+(y−3)2=164.5.(x+3)2+(y−8)2=164.(x)2+(y)2=164.(x+8)2+(y−3)2=164. - 8. Multiple ChoiceThe endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?
Hint: In this problem, we are not given the center or radius however we can find the length of the diameter using the distance formula (Phythagoras) and then divide it by 2. The center is simply the midpoint of the given points.(x−6)2+(y−3)2=13(x−3)2+(y−6)2=132(x−5)2+(y−9)2=13(x−9)2+(y−5)2=169/4 - 9. Multiple ChoiceThe diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.(x - 2)2 + (y + 5)2 = 36(x - 5)2 + (y + 2)2 = 6(x + 5)2 + (y - 2)2 = 36(x + 2)2 + (y - 5)2 = 6
- 10. Multiple ChoiceWhat is the equation of a circle with radius 2 and center (3, 4)?(x+3)2 + (y+4)2 = 2(x-3)2 + (y-4)2 = 2(x+3)2 + (y+4)2 = 4(x-3)2 + (y-4)2 = 4
- 11. Multiple ChoiceWhat is the equation of the circle?(x+1)2 + (y +1)2 = 3(x+1)2 + (y -1)2 = 3(x+1)2 + (y +1)2 = 9(x-1)2 + (y -1)2 = 9
- 12. Multiple ChoiceWhich graph corresponds to
(x-4)2+ (y+4)2=25ABCD - 13. Multiple ChoiceWhich graph corresponds to
(x+2)2+ (y-3)2=36ABCD - 14. Multiple Choice
Which is the equation of a circle given endpoints of the diameter are (0,5) (2,3)
(x - 1)2+(y - 4)2=2
(x - 1)2+(y - 4)2=4
(x + 1)2+(y + 4)2=2
(x + 1)2+(y - 4)2=4
- 15. Multiple ChoiceChoose the equation that represents the circle with center (5, 9) and goes through (2, 9)(x+5)2+(y+9)2=3(x-5)2+(y-9)2=3(x+5)2+(y+9)2=9(x-5)2+(y-9)2=9
- 16. Multiple Choice
Which point is on the following circle: (x-6)^2 + (y+8)^2 = 100
(5,4)
(3,-2)
(-1, 0 )
(-2, -2)
- 17. Multiple Choice
Which point is on the following circle: x^2 + (y+2)^2 = 16
(4, -4)
(0, -2)
(-2,4)
(-4, 4)
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