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 ...

The perimeter of the inscribed blue hexagon has ... through some further clever geometry, figured out how to estimate the perimeters for polygons with twice as many sides. He went from a 6-sided ...

of the area of the circle. \(A = \frac{135}{360} \times π \times 4^2\) \(A = 18.85 (2 d.p.)\) Calculate the perimeter of the sector. The perimeter is made up of an arc and two straight sides.

Like this irregular polygon …If you want to find out the missing lengths to work out a perimeter then easy. First fill in the gaps using the sides opposite. We can see the sides are parallel and ...

It 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 ...

Archimedes determined the upper and lower range of pi by finding the perimeters of inscribed and circumscribed polygons. By doubling the number of sides of the hexagon to a 12-sided polygon ...