Prove the following:
area of a circle = Pi*r^2, please dont prove it with the integration proof.
2006-06-22 06:10:50 · 8 answers · asked by koolbvr 2 in Science & Mathematics ➔ Mathematics
I knew it as I did the activity.Draw a circle an divide it into 8 equal parts.It should be equal.Then cut it and stick such that the tip of one cone is up and the other is down.See that the edges stick each other close together.Do it until you finish all the 8 parts.
Now you needed some concentration.You can see that it forms a parallelogram.Now area of parallelogram=base*height and the circumference of circle=Pi*2*radius.The base of the diagram is half the circumference that is Pi*radius,and the height will be the radius.You will also notice that Area of parallelogram=Area of circle.Therefore,Base*height=Pi *Radius *radius.so, now you have got pi*radius square.
Hope you like my answer.
2006-06-22 07:16:32 · answer #1 · answered by Halidha Fathima M 1 · 1⤊ 1⤋
The circumference of the circle is 2*Pi*r. If you "roll" a circle out so it makes a triangle with the base 2*Pi*r and the height r, the area will become 2*Pi*r*r/2 = Pi*r^2. The area is then still the same if you roll it back to a circle again.
2006-06-22 06:23:52 · answer #2 · answered by User1 2 · 0⤊ 0⤋
basically, the only thing that i can find in common with sacred geometry and alchemy is that they both deal with types of spirituality. Sacred geometry deals with the use of geometric patterns and shapes in the design and architecture of churches, temples, mosques or any place of spiritual gathering. These specific shapes mean certain things, depending on the religion or belief system. For example, the pentagram in Christianity refers to the five senses. In Catholicism, it can sometimes refer to the Devil, or the Evil One. Alchemy deals with the process of turning metals into gold, using chemicals and science. However, Alchemy is also a belief in finding the ultimate wisdom through chemistry. Therefore, alchemy is a spirituality all its own. All in all, the only thing that I can see in common between the two is that they both deal with a type, or types, of spirituality.
2016-05-20 11:32:52 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Inscribe a triangle in the circle, then a square, then a pentagon, keep going as long as you want. Then you will get the nth gon's area to be
pretty close to pi*r^2
2006-06-22 06:15:46 · answer #4 · answered by vishalarul 2 · 0⤊ 0⤋
Draw a circle on a graph sheet, one which has all the small boxes on it.
Now count the number of squares which lie inside the figure.
Compare the result with the formula's prediction.
2006-06-22 06:13:33 · answer #5 · answered by ag_iitkgp 7 · 0⤊ 0⤋
Sorry, but calculus and integration provide a straightforward way of proving this area formula.
Maybe this will encourage you to study calculus!
2006-06-22 06:14:37 · answer #6 · answered by fcas80 7 · 0⤊ 0⤋
It might help if you define pi in your proof.
2006-06-22 06:16:04 · answer #7 · answered by eric 3 · 0⤊ 0⤋
everyone knows pie arent square...pie are round....cake are square
2006-06-22 06:13:19 · answer #8 · answered by Jack Kerouac 6 · 0⤊ 0⤋