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Mathematics
9th -
10thgrade
Unit 11 Circles - Equations of Circles
10 questions
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- 1. Multiple Choice
What is the standard equation of a circle?
(x-k)2 + (y-h)2 = r2
(x+h)2 + (y+k)2 = r2
(x-h)2 + (y-k)2 = r2
(k-x)2 + (h-y)2 = r2
- 2. Multiple Choice
What does (h,k) standard for in the standard circle equation?
(h,k) is the center of the circle
(h,k) is a point on the circle.
(h,k) is a point that we guess and find
(h,k) is the distance of the circle
- 3. 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)
- 4. 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)
- 5. Multiple Choice
Which graph corresponds to
(x+2)2+ (y-3)2=36
A
B
C
D
- 6. Multiple ChoiceWrite the equation of the circle graphed(x-2)^2+(y+5)^2=9(x+2)^2+(y+5)^2=9(x-2)^2+(y-5)^2=9(x-2)^2+(y-5)^2=3
- 7. Multiple ChoiceIn the equation (x+2)2+(y-3)2=4, the radius of the circle is...42316
- 8. Multiple Choice
What is the equation of a circle with radius 5 and center (-3, 4)?
(x+3)2 + (y-4)2 = 5
(x-3)2 + (y-4)2 = 25
(x+3)2 + (y-4)2 = 25
(x-3)2 + (y+4)2 = 5
- 9. 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
- 10. Multiple ChoiceWhat is the radius of the circle given by the equation (x-7)2 + (y+3)2 = 25?351025
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