If the circle is inside the square, four.
8
The two points and the centre of the earth define a plane, and the intersection of this plane with the surface of the earth is a circle - the "Great Circle". The shortest distance between the two points is the smaller of the two arcs on this circle.
The solution set is all points on the circle.
a circle?
One
6 maximum points of intersection
10.
8
discuss the possible number of points of interscetion of two distinct circle
Six (6)
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 ).
12
32
69
The greatest number of intersection points that four coplanar lines can have occurs when no two lines are parallel and no three lines intersect at the same point. In this case, the maximum number of intersection points can be calculated using the formula ( \frac{n(n-1)}{2} ), where ( n ) is the number of lines. For four lines, this results in ( \frac{4(4-1)}{2} = 6 ) intersection points.
The smallest number of points of intersection of five lines drawn in a plane occurs when all the lines are parallel. In this case, the lines do not intersect at all, resulting in zero points of intersection. Thus, the smallest number of points of intersection is 0.
A secant is a line that intersects a curve at two or more points. In the context of a circle, a secant can be defined as a line that crosses the circle, providing two points of intersection. These intersection points help in calculating various properties of the circle, such as angles and lengths, depending on the specific geometric scenario involved.