Need help with circumference question

Mathematics
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The diameter of the Earth at the equator is about 8000 miles. For these questions , assume that it is exactly 8000 miles.

Calculate the circumference of the Earth a the equator sing the value of TT proposed by each of the following people. Round your answers to the nearest tenth of a mile

May 2nd, 2015

Diameter of the Earth -8000 miles

Circumference =Pi D

can u provide pi values provided by different  mathematician?

I am using 22/7 for example

Circumference =22/7 x 8000

                        =25142.857

                        =25142.86 miles.

May 2nd, 2015

The diameter of the Earth at the equator is about 8000 miles. For these questions, assume that it is exactly 8000 miles.

Calculate the circumference of the Earth at the equator using the value of TT proposed by each of the following people. Round your answers to the nearest tenth of a mile.


a. The Rhind Papyrus  4(8/9)^2

b.   Ptolemy 377/120

c.  Zu Chongzhi 355/113

d.  Aryabhata 62832/20000


May 2nd, 2015
62832/20000

a) The Rhind of Papyrus

    C=4(8/9)^2 *8000

       =25283.94


b)Ptolemy

 C= 377/120 *8000

    =25133.34


C) Zu Chonzhi

C= 355/113 *8000

  =25132.74


D)Aryabhata

  C=62832/20000 *8000

    =24931.28



The best estimate is given by Aryabhatas value of pi.

May 2nd, 2015

Tried your formula and this is what i got:

 Ptolemy

377/120 x 8000

= 251333.333

= 251333. 33 miles

  Zu Chongzhi

355/113 x 8000

= 26690.265

= 26690.266 miles

 Aryabhata

62832/20000 x 8000

= 25132.8

= 25133 miles or 25132.8 miles

****This one not sure how to calculate****

  The Rhind Papyrus- 4(8/9)^2

4 ( 8/9 ) x 2 x 8000 ???


May 2nd, 2015

Thank you. My answers were off but i get the idea of the formula,

May 2nd, 2015

4(8/9)^2

take square of 8 and 9

4*(64/81)

=3.1604

May 2nd, 2015

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