- #1
menniandscience
- 99
- 2
how to measure perimeter without pi? [before they knew about the pi ratio]
Hurkyl said:I don't understand the question.
meni ohana said:how pi was discovered?
chiro said:Look up some info on archimedes.
Basically the way that pi was discovered was to inscribe a polygon in the circle and measure the sum of the sides. So basically you approximate the circle by some uniform polygon (each side is the same size) and add up all the sizes.
Then you basically increase the number of sides that the polygon has and you find that the ratio of the perimeter of the circle against its diameter reaches pi.
The same kind of process is used in calculus.
meni ohana said:i know who is archimedes, can you narrow it?
calculus wan't invented - as much as i know- in ancient times. and approximation is not good enough to genralize and find pi. it had to be someother way.
right now if one wants to know how long is permiter he needs to use pi. but to know there is pi - you need to know the premiter in total acuratly and divide by diameter. problem
One way to measure the perimeter of a circle without using pi is by using the circumference formula, C = 2r, where C is the circumference and r is the radius. Simply measure the radius of the circle and multiply it by 2 to get the perimeter.
No, a ruler will not work to measure the perimeter of a circle without using pi. A ruler only measures straight lines and cannot accurately measure the curved perimeter of a circle.
There may be instances where pi is not available or not accurate enough for a particular project or experiment. In such cases, using alternative methods to measure the perimeter of a circle can provide more precise results.
Yes, there are other methods such as using geometric constructions or approximating the perimeter using polygons. However, these methods may not be as accurate as using the circumference formula.
No, some form of mathematical calculation is necessary to measure the perimeter of a circle. However, there are alternative methods that do not involve using pi, such as using physical objects to trace the perimeter or using a compass and straightedge to create a construction.