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WorksheetsEquation of a circle - Problem so
Total questions: 10
Worksheet time: 53mins
A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle described. (Hint: graph to find the length of the radius).
(x + 1)2 + (y - 3)2 = 5
(x - 1)2 + (y + 3)2 = 25
(x + 1)2 + (y - 3)2 = 25
(x - 1)2 + (y + 3)2 = 5
Graph the equation x2 + y2 = 9. Is the point (3 , 5) inside, outside, or on this circle?
Inside the Circle
Outside the Circle
On the Circle
A line segment between two points that passes through the center of the circle is called the...
Radius
Diameter
Chord
Tangent
A circle has a center of (1, -5) and passes through the point (-7, -13). What is the equation of this circle? (Hint: graph to find the length of the radius).
(x + 1)2 + (y - 5)2 = 128
(x - 1)2 + (y + 5)2 = 11.31
(x - 1)2 + (y + 5)2 = 128
(x + 1)2 + (y + 5)2 = 11.31
If the endpoints of a diameter of a circle are (-12, -7) and (3, 5), find the center of the circle.
(-4.5, -1)
(-7.5, -6)
(4.5, 1)
(7.5, 6)
(x+4)2+(y+13)2=16
(x-4)2+(y-13)2=16
(x-4)2+(y-13)2=64
(x+4)2+(y+13)2=256
(x-4)2+(y-13)2=256
(x+6)2+(y-1)2=14
(x-6)2+(y+1)2=49
(x+6)2+(y-1)2=49
(x+6)2+(y-1)2=7
(x-6)2+(y+1)2=7
A flattened crop circle has a diameter of 300 feet. If this circle is represented graphically, with the center located at the coordinates (3,4), which equation represents the boundary of the crop circle?
x2+y2=90,000
(x-3)2+(y-4)2=22,500
(x+3)2+(y+4)2=22,500
(x-3)2+(y-4)2=90,000
Which circle has a center at (-3,-6) and passes through the point (-4,8)?
(x-3)2+(y-6)2=197
(x+3)2+(y+6)2=197
(x-3)2+(y-6)2=32
(x+3)2+(y+6)2=32
