Admin How was pi calculated?
The value of pi was discovered by dividing the circumference of a circle by the diameter. This ratio which is approximately equal to 3.14 remains the same even if the diameter or the circumference of a circle changes. The ancient Babylonians and Egyptians calculated the value of pi for practical purposes.
What method did Archimedes use?
Archimedes used the method of exhaustion as a way to compute the area inside a circle by filling the circle with a polygon of a greater area and greater number of sides.
How did Archimedes come up with Pi?
Mathematics. Archimedes is credited to have estimated the value of pi, a factor used in calculating the area of circles and volume of spheres and cylinders. He was able to prove that the area of a circle is actually equal to pi multiplied by the square of the circle’s radius.
How did Archimedes prove his theory?
Archimedes. Archimedes came upon the solution on how to prove this as he was taking a bath. Upon entering a full tub of water, he noticed that the weight of his body displaced a certain amount of water. Knowing that this same principle could be used on the crown, he forgot himself with excitement.
What shape did Archimedes use to approximate pi?
Archimedes’ method finds an approximation of pi by determining the length of the perimeter of a polygon inscribed within a circle (which is less than the circumference of the circle) and the perimeter of a polygon circumscribed outside a circle (which is greater than the circumference).
What did Archimedes use to approximately Pi?
Archimedes used the method of exhaustion to approximate the value of pi. He did this by drawing a larger regular polygon outside of a circle and a smaller regular polygon inside the circle. Doubling the number of sides of each regular polygon and calculating the length of each side.