Find the exact circumference of a circle with a diameter of 5 inches. Find the diameter of a circle whose circumference is 18.85 m. Using the following figure, find the exact and approximate circumference of the circle. Calculate the circumference of a circle with a radius of 5/8. Find the...
Both the ancient and modern scientists had accepted that - the ratio of the circumference of a circle to its diameter is absolute knd thatthe generally accepted two values 22/7 and 31416 are only approximate values. The value T! = 2 x (4 + /6 -/2 - 23) I had derivedtheoritically...
Hero’s argument is a little peculiar. We need to know that the example taken is general and not just an odd instance where half the area of the circle, taking the circumference as 3·diameter, equals (, withbequal to the diameter andhthe radius. In any case, one would quickly see t...
The description of the method was transmitted by Cleomedes 1.7.49–110 (Bowen and Todd 2004: 81–84). According to him, Eratosthenes calculated the circumference of the Earth as 250,000 stades although most ancient authors generally give Eratosthenes’s result as 252,000 stades (Vitruvius 1.6....
Granted, almost all numerical values in the table are approximation, being finite decimal expressions for irrational numbers. Chinese scholars during Ming dynasty differentiated two types of approximate values. Obtained through “exact” procedures, the first kind consists of values which can be made “...
U 7 is tested against the saturated model U 8 , produced approximate p values that were close to zero ( p < 10 − 11 ) for all but model U 7 , which had a p value of 10 − 6 . This suggests that none of the models U 1 … U 7 provides an adequate fit to the data an...