ScienceMathAlgebraEquation Of A Circle example #45718
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Equation Of A Circle

Iliana Nelson avatar Iliana Nelson
7 September 2022
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14 test answers

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question
What is the center of a circle represented by the equation (x+9)2+(yβˆ’6)2=102?
answer
(βˆ’9,6)
question
What is the center of a circle whose equation is x2 + y2 - 12x - 2y + 12 = 0?
answer
(6, 1)
question
Does the point (2,root of 6) lie on the circle shown? Explain.
answer
No, the distance from (0, 0) to (2, root of 6) is not 3 units.
question
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown? Explain.
answer
Yes, the distance from (-2, 0) to (1, ) is 4 units.
question
What is the radius of a circle whose equation is x2+y2+8xβˆ’6y+21=0?
answer
2 units
question
In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?
answer
(x - h)2 + (y - k)2 = r2
question
Which equation represents a circle with a center at (-3, -5) and a radius of 6 units?
answer
(x + 3)2 + (y + 5)2 = 36
question
Which point is on the circle centered at the origin with a radius of 5 units?
answer
(2, √ Μ…21)
question
What is the center of a circle whose equation is x2 + y2 + 4x - 8y + 11 = 0?
answer
(-2, 4)
question
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
answer
(x + 2)2 + (y - 1)2 = 25
question
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?
answer
(x - 4)2 + (y - 5)2 = 4
question
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
answer
x2 + (y - 3)2 = 36 x2 + (y + 8)2 = 36
question
Which equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)?
answer
(x + 1)2 + (y - 1)2 = 16
question
Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z?
answer
The radius is the square root of the constant term, z.