Intersecting Circles
Pro Problems > Math > Geometry > Analytic Geometry > CirclesIntersecting Circles
Two circles intersect at the points (-3 5) and (-3, -3). The radius of one circle is 4 units, and the distance between the centers is 5 units. Find the radius of the other circle.
Presentation mode
Problem by Mr. Twitchell
Solution
In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
Click here to assign this problem to your students.Similar Problems
Center, Radius, Point
The center of a circle lies along the line y = 3x - 4. The circle's radius is
37 units, and the circle contains the point (5,2). Find all possible equations for the circle.

Circle and Parabola
The center of a circle lies at the focus of a parabola. The circle is tangent to the parabola's directrix. The circle and the parabola intersect at the points (-7, 6) and (5,6). Find all possible centers of the circle.
Circle and Line
A circle's center lies along a line with a 45 degree angle of inclination. The line passes through the point (1, -1) and the circle passes through the point (6, 1). The radius of the circle is
5. Find all possible centers of the circle.

Circle Sandwich
A circle is tangent to the lines y = 2x + 1 and 2y = -x + 1. Its center lies on the x - axis. What are the possible equations of the circle?
Blogs on This Site
