1st Step for All

Science: 천문학 Astronomy; 생물학 Biology; 화학 Chemistry; 지질학 Geology; 수학 Mathematics; 물리 Physics

Engineering: 항공우주 Aerospace; 농업 Agriculture; 생물 Biological; 화학 Chemical; 토목공학 Civil; 전기공학 Electrical; 환경 Environmental; 산업 Industrial; 해양 Marine; 재료 Materials; 기계 Mechanical; 원자력 Nuclear

Architecture: 건축 Architecture

Health: 건강보건 Health

ETC: 기타 ETC

현재 위치

circumference of a regular octagon in contact with the square

작성자 Uploader : rainman 작성일 Upload Date: 2019-03-04변경일 Update Date: 2019-03-05조회수 View : 325

The circumference of an octagon that is in contact with a square having each side length a, as shown in the figure, can be obtained as follows.

If the length of one side of the octagon is b and the length of one side of the triangle in which the square and the octagon do not overlap and if the length of a side of the triangle is c,

then, a = b + 2c.

Since the hypotenuse of the triangle has a length of 2^(1/2)*c = b,

c = b / 2^(1/2)

Substituting this into the above formula yields a=b+2*b/sqrt(2) and b=a/(1+2^(1/2)).

Since the circumferential length to be obtained is P = 8b,

P = 8 * (a / (1 + 2 ^ (1/2)))

*** 참고문헌[References] ***

P = 8*(a/(1+2^(1/2)))

작성자의 수식그림이 없습니다. No picture for this formula


변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

※ 이 사이트는 광고수익으로 운영됩니다.

★ 로그인 후 수식작성 및 즐겨찾기에 추가할 수 있습니다.
★ To make new formula or to add this formula in your bookmark, log on please.

1st Step for All

현재 위치

circumference of a regular octagon in contact with the square

코멘트