2006-10-22 12:44:48 · 5 answers · asked by nik 1 in Science & Mathematics ➔ Mathematics
If u rephrase ur question: "can a circle and 4 chords of the circle divide a plane into 12 regions?", then the answer is yes.
2 chords can create 4 regions within the circle and there is the region outside the circle so that's 5.
A 3rd chord can create 3 new regions by intersecting the 1st two chords at 2 distinct points (1 per chord). So 5+3 = 8
The 4th chord can create 4 new regions by intersecting the first 3 chords at 3 distinct points. So 8+4 = 12
However the circle itself will consist of 11 regions. The outside region is the 12th
2006-10-22 13:42:54 · answer #1 · answered by Jimbo 5 · 0⤊ 0⤋
3 straight lines horizontal and then one U-shaped line with the top off the outside of the circle with the straight parts perpendicular to the horizontal ones.
(does the question specify straight lines?)
2006-10-22 12:49:28 · answer #2 · answered by Anonymous · 0⤊ 0⤋
A "U" shape is not a line! That won't work. You could then just draw a big squiggle that crosses itself.
2006-10-22 13:18:12 · answer #3 · answered by pilly 2 · 0⤊ 1⤋
i will explain this in english
2006-10-22 12:48:15 · answer #4 · answered by Anonymous · 0⤊ 0⤋
ummm ya what he said.
2006-10-22 12:53:38 · answer #5 · answered by Grev 4 · 0⤊ 0⤋