Biggest possible number

Geometry Level 2

Each student drew two circles and three lines on their piece of paper.

Afterwards they counted the points of intersection (including all points where the circles intersect, the lines intersect and circles and lines intersect).

What is the biggest possible number of such points?


Try this: All of my problems

18 15 16 17

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Marta Reece
May 30, 2017

The circles intersect each other at no more than two points. 2 2

The first line intersects the circles at the most at four points. 4 4

The second line creates four intersections with the circles, and one with the previous line. 5 5

The last line gets four intersections from the circles and two from the other two lines. 6 6

Total 2 + 4 + 5 + 6 = 17 2+4+5+6=\boxed{17}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...