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What is the maximum number of points of intersection when two circles and five straight lines intersect each other?
When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).
How do you place 10 circles of the same size in five rows with four circles in each row?
Kind of hard to show in here but... Use five circles to form a regular pentagon, then place the other five circles outside the pentagon - so that each is the point of a triangle (with the other points of the triangle formed by the points of the pentagon.
Can two circles be tangent at the same point?
If the two circles are tangent to each other,then it must be at the same point.
How do triangles and circles relate to each other?
They're both shapes
Can a tangent circle be concentric?
No; tangent circles touch each other at one point but concentric circles cannot not touch.
