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What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are drawn on the same piece of paper?
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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 ).
What is the maximum number of points of intersection between two different size circles that lie in the same plane?
69
Is the center of a circle the point of intersection for two concentric circles?
Concentric circles are the circles with the same center therefore they do not cross with each other as the "center is not considered a point on the circle". An exception would be two circles that are concentric and have the same radius, in which case the circles are indistinct and every point of the circles is an intersection.
How many straight edges circle has?
None, circles aren't straight lines.
1.What is the name of a shape with two semi-circles connected by two straight lines that are tangential with the semi-circles 2.Is there a different name if the semi-circles are of different diameter?
Answer to part 1 = Oblong (ellipsoidal rectangle) Answer to part 2 - possibly egg-shaped? Probably still oblong though.
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 points of intersection between two different size circles that lie in the same plane?
69
Is the center of a circle the point of intersection for two concentric circles?
Concentric circles are the circles with the same center therefore they do not cross with each other as the "center is not considered a point on the circle". An exception would be two circles that are concentric and have the same radius, in which case the circles are indistinct and every point of the circles is an intersection.
What is the intersection of two circles called?
mandorla or vesica piscis (if they have the same radius)
Can a circle be made of straight lines?
No. A circle has no straight lines. You can approximate circles with very small straight lines (that's how a computer draws circles) but mathematically, no.
Are circles and ovals polygons?
no straight sides
How many straight edges circle has?
None, circles aren't straight lines.
1.What is the name of a shape with two semi-circles connected by two straight lines that are tangential with the semi-circles 2.Is there a different name if the semi-circles are of different diameter?
Answer to part 1 = Oblong (ellipsoidal rectangle) Answer to part 2 - possibly egg-shaped? Probably still oblong though.
How many right angles are formed by the intersection of two perpendicular great circles on the surface of the sphere?
8
How do you make equivalent logical ckt from venn diagram?
A Venn diagram contains three different types of regions...areas of non-intersection, areas of intersection, and the area which is neither. The areas of intersection are logically equivalent to the AND function. The areas that aren't inside any of the circles are logically equivalent to the NOT OR (NOR) function. The areas in a single circle only use a the NOT and AND functions. For example, if you have a Venn diagram of the set {0-9} showing two circles A and B which have intersection elements {4,8}, and the elements of A={1,2,4,5,6,8}, the elements of B = {3,4,7,8}, and the elements {0,9} are outside of both circles: A OR A = A = {1,2,4,5,6,8} B OR B = B = {3,4,7,8} A AND B = {4,8} NOT (A OR B) = {0,9} A NOT B = A AND (NOT B) = {1,2,5,6} B NOT A = B AND (NOT A) = {3,7}
A line in riemann's sperical geometry is called a?
A line in Riemann's spherical geometry is called a great circle, which is the intersection of a sphere with a plane passing through its center. Great circles are the equivalent of straight lines in this non-Euclidean geometry.
What is the maximum number of points of intersection when two circles and five strait lines intersect ecah other?
32
