Math Is Fun Forum

juantheron

Member

Registered: 2011-10-19

Posts: 312

line and circle

How much are the points of intersection of circle 4 and 6 lines

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: line and circle

hi juantheron

well it depends.i guess you want the case when all the lines and all the circles intersect.

two lines that intersect will have 1 intersection point,so the number of intersections of two lines is 6*5/2=15.

when we have two circles every two have two common points,so the total number of intersections of two circles is 2*(4*3/2)=12

a line and a circle have two intersection points so the total number of intersections of one line and one circle is 2*4*6=48

the total number of intersections is:15+12+48=75

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juantheron

Member

Registered: 2011-10-19

Posts: 312

Re: line and circle

Thanks anonimnystefy

Here I mean maximum no. of Intersection

Would you like to explan one more time