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What is the maximum possible number of points of intersection between an equilateral triangle and a circle in the same plane?

6 maximum points of intersection


If you have a circle and a square what is the maximum number of points of intersection that the shapes can share?

If the circle is inside the square, four.


What are the maximum number of points of intersection for a circle and a pentagon in the same plane?

10.


What is the maximum number of points of intersection when three distinct circles and four distinct lines?

discuss the possible number of points of interscetion of two distinct circle


What is the maximum number of points of intersection between two different size circles that lie in the same plane?

69


What is the maximum number of points of intersection of 4 distinct lines?

Six (6)


What is the possible maximum and minimum point of intersection for a paticular number of line?

With n lines, the maximum number is n*(n-1)/2. The minimum is 0.


Which is the polygon with the maximum number of sides?

a circle * * * * * No. A circle is not a polygon because a polygon MUST have straight sides. There is, however, no maximum number - just like infinity being the biggest number.


What is the maximum possible finte number of intersection points of two non-convex quadrilaterals?

12


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 ).


What is the maximum number of intersections that a regular pentagon can have with a circle on a plane?

7


What is the maximum number of points of intersection when two circles and five strait lines intersect ecah other?

32