Octagon in a square

Community Mathematics Centre, CoMaC (2016) Octagon in a square. At Right Angles, 5 (1). pp. 71-73. ISSN 2582-1873

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Abstract

In the November 2015 issue of AtRiA, the following geometrical puzzle had been posed. An octagon is constructed within a square by joining each vertex of the square to the midpoints of the two sides remote from that vertex. Eight line segments are thus drawn within the square, creating an octagon (shown shaded). The following two questions had been posed: (i) Is the octagon regular? (ii) What is the ratio of the area of the octagon to that of the square?

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Articles in APF Magazines

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Community Mathematics Centre, CoMaC

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