Equations of Circles Quiz
Authored by Susan Joyce
Mathematics
10th - 11th Grade
Used 3+ times
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22 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the equation of a circle with radius 2 and center (3, 4)?
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the center of the circle with equation x2 + y2 = 1?
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
See Picture
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The 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 = 144
(x + 5)2 + (y - 2)2 = 36
(x + 2)2 + (y - 5)2 = 6
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the equation of the circle with center (−8,3) and point (2,−5) on the circle. Hint: Use the distance formula to find the radius of the circle.
(x+8)2+(y−3)2=√164.
(x+3)2+(y−8)2=164.
(x)2+(y)2=164.
(x+8)2+(y−3)2=164.
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The endpoints of a diameter of a circle are (-3, 11) and (3, -13). Find the equation of the circle.
Hint: In this problem, we are not given the center or radius The center is simply the midpoint of the given points. The radius can be found by using the distance formula for the distance between center and one of the points.
(x−5)2+(y−4)2= √153
(x−5)2+(y−4)2= 153
x2+ y2= 153
x2+(y + 1)2= 153
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