What is the maximum number of points of intersection between a triangle and a circle?

Circle can intersect triangle at one of the vertex and cut three sides (one side twice and other two once) two sides – 5 points of intersection; Circle can cut all three sides twice – 6 points of intersection. Hence circle can intersect triangle at 1, 2, 3, 4, 5 or 6 points.

What is the maximum number of points of intersection of a square and a circle?

8
Statement 2 : The maximum number of points of intersection of a square and a circle is 8. Hence, option 3 is the correct answer.

What is the maximum number of intersection points between a quadrilateral and a triangle where no sides of the polygons are on the same line )?

Terms in this set (10) What is the maximum number of intersection points between a quadrilateral and a triangle​ (where no sides of the polygons are on the same​ line)? 8. Cone.

How do you find the maximum point of intersection?

First two lines can intesect at maximum of 1 point. Then the third line can intersect these two lines at max 2 points and finally the fourth line can intersect these three lines at max 3 points. So total no. of maximum points 1 + 2 + 3 = 6.

How many common points can a triangle have?

1 Expert Answer The answer would be 7. If you connect 3 of the corners of the square to make a triangle, the answer would be 3 common points. If you use one corner of the square and two points outside different sides, you would get 5. If you use 3 points outside different sides, you would get 6 common points.

Can a line intersect a plane in 2 points?

If you pick two points on a plane and connect them with a straight line then every point on the line will be on the plane. Given two points there is only one line passing those points. Thus if two points of a line intersect a plane then all points of the line are on the plane.

How many points can a triangle have 6 points of intersection?

And if one endpoint is inside and one is outside, then there can only be one point of intersection. Therefore, you can only get 6 points of intersection if all 3 corners of the triangle are outside the square. If one is inside, the max is 4; if two are inside, the max is 2; and if 3 are inside, the max is 0.

What is the maximum number of angles a triangle can have?

If one is inside, the max is 4; if two are inside, the max is 2; and if 3 are inside, the max is 0. Six. Each side can, with a shape consisting of only convex angles (which triangles and squares by definition do) make at most two intersections.

What is the maximum possible value of 2n for a circle?

Each side of the shape is a line segment. A line segment can intersect a circle at a maximum of two points (the segment must be a secant, not a tangent.) Hence the maximum possible value is 2n. What is the minimum? Consider a convex regular n-gon centered at point O.

Which shape has the fewest number of intersections?

Each side can, with a shape consisting of only convex angles (which triangles and squares by definition do) make at most two intersections. The triangle has the fewest sides, so it sets the upper boundary for number of intersections at 2*3, or 6.