Question

The method of exhaustion for estimating pi which was popularized by Archimedes involved making a polygon around the outside of a circle and inside the circle and estimating pi from both by Dividing the diameter by the perimeter. Dividing the perimeter by the diameter. Adding the perimeter and diameter. Multiplying the perimeter and diameter.

Answer 1

The method of exhaustion for estimating pi, popularized by Archimedes, involves making a polygon around the outside of a circle and inside the circle and dividing the perimeter of the polygon by its diameter to estimate pi.

Step-by-step explanation:

The method of exhaustion for estimating pi, popularized by Archimedes, involves making a polygon around the outside of a circle and inside the circle. To estimate pi, Archimedes divided the perimeter of the polygon by its diameter. This method relies on the fact that the perimeter of the polygon will be less than the circumference of the circle, and the diameter will be greater than the diameter of the circle.