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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 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 regions that can b formed by five congruent circles?
21
Two circles both of radii 4 have exactly one point in common If A is a point on one circle and B is a point on the other circle what is the maximum possible length for the line segment AB?
12
How many intersects are there for 4 lines?
Maximum 12 intersections are there! You can simply use the formula: No. of intersections = n(n-1)/2 [where 'n' is the number of lines] This is derived as each new line can intersect (at most) all the previously drawn lines. There if there is: 1 line => 0 intersections 2 lines => 1 intersection 3 lines => 3 intersections [1 that was there + 2 by the new line can intersect both the previous lines.] 4 lines => 6 intersections [3 that were already there + 3 because the new line can intersect all the 3 lines that were present previously.]
What is the maximum number of possible intersections of the given loci of a circle and a pair of parallel lines?
4
What is the maximum number of distinct intersections of 30 different coplanar circles?
No two circles can intersect more than twice. Each circle can intersect with each other circle. Thus there ought to be 2 × 30 × (30 - 1) intersections. However, this counts each intersection twice: once for each circle. Thus the answer is half this, giving: maximum_number_of_intersections = ½ × 2 × 30 × (30 - 1) = 30 × 29 = 870.
What is the maximum number of intersections that a regular pentagon can have with a circle on a plane?
7
If there are six straight lines and none are parallel to any other what is the maximum number of intersections there could be?
There can be a maximum of 15 intersections. With two non-parallel lines, there will be one intersection, a third (non-parallel) line can be drawn to cut the other two, and that makes 2 more intersections for a total of 3. You can actually draw this out, and with a fourth, fifth and sixth line, you will create a maximum of 3, 4 and 5 more intersections (respectively), and this will bring your total to fifteentotal intersections for the six lines. You can get each successive line to cut all of the other existing lines if you draw them in a prejudicial (maximized) way.
What is the maximum number of intersections that two tringles with different vertices could in a coordinate plane?
Six.
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 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 regions that can b formed by five congruent circles?
21
Two circles both of radii 4 have exactly one point in common If A is a point on one circle and B is a point on the other circle what is the maximum possible length for the line segment AB?
12
What is the greatest possible number of points of intersection for eight distinct lines in a plane?
Greatest possible number of intersections for following lines:1(line(s)) = 0 (intersections)2= 13= 1+24= 1+2+35= 1+2+3+4....8=1+2+3+4+5+6+7= 28Every time you add a line, you are able to create 1 more maximum intersection than the previous state. You can add up until 'number of lines - (minus) 1'.
What is the maximum possible IQ that a person can achieve?
The maximum possible IQ score that a person can achieve is 200.
How many intersects are there for 4 lines?
Maximum 12 intersections are there! You can simply use the formula: No. of intersections = n(n-1)/2 [where 'n' is the number of lines] This is derived as each new line can intersect (at most) all the previously drawn lines. There if there is: 1 line => 0 intersections 2 lines => 1 intersection 3 lines => 3 intersections [1 that was there + 2 by the new line can intersect both the previous lines.] 4 lines => 6 intersections [3 that were already there + 3 because the new line can intersect all the 3 lines that were present previously.]
