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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


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 between a circle and a square that lie in the same plane?

8


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 of 4 distinct lines?

Six (6)


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 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 strait lines intersect ecah other?

32


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

69


What is the greatest number of intersection points possible with just 4 lines?

The greatest number of intersection points with just four lines is 6.


Can 2 circle and 3 lines get 17 intersection points?

Yes. Draw three line segments so that they cross at three points forming a triangle (with each side extending beyond the vertices of the triangle). Draw one circle to enclose the triangle without touching it to intersect the extended sides at a further 6 points, making 9 points of intersection so far. Draw the second circle slightly shifted (relative to the first) so that it also encloses the triangle (without touching it) creating a further 6 intersection points with the three lines and 2 with the first circle; an additional 8 intersection points making 17 in all.


Between how many pairs of points can you measure a circle's diameter?

There are an infinite number of points on the circumference of a circle and an infinite number of points on a semi-circle so the answer to your question is "An infinite number of pairs of points."