Circle Equation
Determine the center and radius of the following circle: (x-5)2+(y+2)2=4
center: (5, -2) radius: 2
A circle has the center (-1,7) and passes through the point (3,7). Determine the equation.
(x+1)2+(y-7)2=16
Use multiplication to write the following in standard form: (2x+5)(x-2)
2x2+x-10
Graph the equations and find the point(s) of intersection:
y=x+4 and (x-2)2+(y-4)2=4
(0,4) and (2,6)
Determine the slope of a line that is parallel to: y-3=4(x+1)
4
Graph the circle: (x+1)2+(y-4)2=9
Your circle should be centered at (-1, 4) and have a radius of 3.
Given the circle: (x-1)2+y2=20
Is the point (5,2) on, inside, or outside? Show work algebraically to justify your answer.
On the circle... 20=20
Determine the factors of: x2+12x+36
(x+6)2
Graph the equations and find the point(s) of intersection:
y=2 and (x+2)2+(y-1)2=1
(-2,2)
Determine the slope of a line that is perpendicular to: y=4/3x+6
-3/4
Graph the circle: x2+(y+2)2=1
Your circle should be centered at (0, -2) and have a radius of 1.
Given the circle: x2+y2=100
Is the point (11,1) on, inside, or outside? Show work algebraically to justify your answer.
Outside the circle... 122>100
Determine the value that completes the square and forms a perfect square trinomial: x2-10x+____
25
Graph the equations and find the point(s) of intersection:
y=1/5x-1 and (x-5)2+(y-4)2=9
no intersection points
A circle and tangent line are drawn. The equation of the tangent line is y-6=-1/5(x+10). Determine the slope of the radius drawn to the intersection point of the line and circle.
Write the equation of a circle that has a center at (6, 0) and radius of 8.
(x-6)2+y2=64
Given the circle: (x-1)2+(y+4)2=25
Is the point (-1,-3) on, inside, or outside? Show work algebraically to justify your answer.
Inside the circle... 5<25
Determine the center and radius of the following circle: x2+y2-10x-2y=38
Center: (5,1) Radius: 8
Use Desmos to determine the solution(s) of:
(x+6)2+(y-4)2=16 and y=-2x-16
(-10,4) and (-8.4,0.8)
A circle is drawn with center (6,1) and passes through the point (9,5). The following line is drawn through point (9,5). y-5=3/4(x-9) Is the line tangent to the circle? Justify why or why not.
No...the slope of the tangent line should be -3/4.
Write the equation of a circle that has a center at (5, 2) and radius of √3.
(x-5)2+(y-2)2=3
A circle has the center (-6,2) and passes through the point (-8,-2).
Determine the equation.
(x+6)2+(y-2)2=20
Determine the center and radius of the following circle: x2+y2-8x+12y+50=10
Center: (4, -6) Radius: √12 ≈ 3.46
Use Desmos to determine the solution(s) of:
(x-4)2+(y+5)2=16 and y+5=3/2(x-8).
(8,-5) and (5.54,-8.69)
A circle is drawn with center (-4,4) and passes through the point (-2,7). Determine the equation of the line tangent to the circle at that point (-2,7).
y-7=-2/3(x+2)