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I just picked up this book Intro to foundations and fundamental concepts of math (Howard Eves/Carroll Newsom)

Practice problem: In the Rhind papyrus area pf a circle is taken as equal to that of a square on 8/9 of the circles diameter. Show that this is equivalent to taking $\pi=3.1604$

What does equal to that of a square on 8/9 mean?


--I'm not sure if I used the correct tag

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All caps is the Net equivalent of shouting. Please don't shout. – Arturo Magidin Oct 31 '11 at 19:57

1 Answer 1

The author just means that the Rhind papyrus said a circle of diameter $d$ has area equal to that of a square of side $\frac{8}{9}d$.

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is that through an inscribed square? – jxtux23 Oct 31 '11 at 20:09
No, an inscribed square would have an area visibly less than the full circle. This is simply a square whose dimensions are related to that of the circle by the given formula. – AMPerrine Oct 31 '11 at 20:13

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