# Equation of a Circle - Page 5

Questions

- A circle has a center that falls on the line #y = 11/7x +8 # and passes through # ( 9 ,1 )# and #(8 ,4 )#. What is the equation of the circle?
- The center of circle o has coordinates (3,-2). If circle passes through R(7,1), what is the length of its diameter?
- How do you write an equation of a line with center (-3,5) and r=10?
- What is the equation of the circle with a center at #(4 ,-7 )# and a radius of #8 #?
- A circle has a center that falls on the line #y = 2/9x +8 # and passes through # ( 2 ,5 )# and #(1 ,4 )#. What is the equation of the circle?
- #AC# is a tangent to the circle at #B# and #AE# is a tangent to the circle at #F#. Using the information on the diagram, how do you find the values of #x# and #y#?
- A circle has a center that falls on the line #y = 7/9x +7 # and passes through # ( 4 ,5 )# and #(3 ,7 )#. What is the equation of the circle?
- A circle has a center that falls on the line #y = 2/9x +8 # and passes through # ( 2 ,5 )# and #(1 ,7 )#. What is the equation of the circle?
- How do you write an equation of a circle with center at (5,10), r=7?
- Two circles have the following equations #(x -8 )^2+(y -2 )^2= 36 # and #(x -1 )^2+(y +5 )^2= 81 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- What is the equation of the circle with a center at #(-4 ,2 )# and a radius of #7 #?
- Slope of tangent to the circle #(x-r)^2 + y^2 = r^2# at the point #(x,y)# lying on the circle is?
- Two circles have the following equations #(x -1 )^2+(y -4 )^2= 36 # and #(x +5 )^2+(y -2 )^2= 81 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- What is the equation of the circle with a center at #(-1 ,-3 )# and a radius of #7 #?
- A circle has a center that falls on the line #y = 2/7x +3 # and passes through # ( 1 ,4 )# and #(6 ,1 )#. What is the equation of the circle?
- How do you determine the center and radius of the following circle and sketch the graph of #x^2+y^2=-4x-3y#?
- A circle has a center that falls on the line #y = 7/4x +4 # and passes through # ( 3 ,7 )# and #(7 ,5 )#. What is the equation of the circle?
- A circle has a center that falls on the line #y = 2/3x +1 # and passes through #(5 ,2 )# and #(3 ,2 )#. What is the equation of the circle?
- A circle has a center that falls on the line #y = 2/9x +4 # and passes through # ( 3 ,1 )# and #(5 ,7 )#. What is the equation of the circle?
- Two circles have the following equations: #(x -1 )^2+(y -4 )^2= 64 # and #(x +6 )^2+(y -9 )^2= 49 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?