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61.15 Simpson and the circle

Published online by Cambridge University Press:  22 September 2016

M. Bridger*
Affiliation:
Sarnia, 30 Roundhill Road, Leicester LE5 5RJ

Extract

A favourite exercise on Simpson’s rule is to evaluate π as the area of a quadrant of a circle of radius 2, i.e. as the area under y = √(4 – x2) from x = 0 to x = 2. It is somewhat discouraging, and a poor advertisement for the technique, to arrive at the answer 3·127 008 with intervals of width 0·2.

Type
Notes
Copyright
Copyright © Mathematical Association 1977

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