Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 3, July 2020
Dividing a Circular Area
Divide the circular area with four straight lines into as many pieces as possible.
At the end of a geometry lesson, a teacher presents his students with the following geometric puzzle: What is the maximum number of parts in which a circular area with four straight lines can be divided into and how do these lines have to be arranged? The parts do not necessarily have to be the same size. As an example, the teacher draws a circle with eight parts (see picture aside) on the board and adds that it is possible to get more than just these eight parts.
What is the maximum number of pieces you can divide the circle into?
Solution
You can use four straight lines to divide the circle into a maximum of 11 parts. This number is obtained by intersecting each line with every other line and by not having more than two lines intersect. A possible solution would be the following:
페펄앤드푹스코리아(주)
서울특별시 서초구 서초대로88
6층 (유니온빌딩)
06673 대한민국
대한민국
info@kr.pepperl-fuchs.com
+82 2 34819494
Pepperl+Fuchs는 세계 자동화 시장에서 전자기 센서 및 컴포넌트 제조 및 개발의 선두주자입니다. 지속적인 혁신, 오래토록 변치 않는 품질 및 꾸준한 성장이 지난 70년 동안 계속적인 성장을 보장하였습니다. Pepperl+Fuchs의 전세계에 6,300명의 임직원을 보유하고 있으며, 독일, USA, 싱가포르, 헝가리, 인도네시아 및 베트남에 제조 시설을 가지고 있으며, 대부분 ISO9001을 획득하였습니다.