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en.wikipedia.org/wiki/Circle

The circle is the shape with the largest area for a given length of perimeter. (See Isoperimetric inequality.) The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry and it has rotational symmetry around the centre for every angle.

en.wikipedia.org/wiki/Area_of_a_circle

In geometry, the area enclosed by a circle of radius r is π r 2.Here the Greek letter π represents a constant, approximately equal to 3.14159, which is equal to the ratio of the circumference of any circle to its diameter.. One method of deriving this formula, which originated with Archimedes, involves viewing the circle as the limit of a sequence of regular polygons.

mathforum.org/library/drmath/view/70604.html

History of Circle Area Formula Date: 03/19/2007 at 18:26:08 From: Richard Subject: history of equation using Pi Do we know who figured out that pi r squared is the area of a circle? I can find out about the history of Pi and the circumference of a circle, but not its area. I looked through your FAQs and on Google but to no avail.

jwilson.coe.uga.edu/EMT668/EMAT6680.F99/Kim/emat6690/instructional...

History. The study of the circle goes back beyond the recorded history. The invention of the wheel is a fundamental discovery of properties of a circle. ... Ahmes, who is a scribe and the author of the Rhind papyrus, gives a rule for determining the area of a circle that corresponds to 256/81 or approximately 3.16. Thales found the first ...

www-history.mcs.st-and.ac.uk/Curves/Circle.html

The invention of the wheel is a fundamental discovery of properties of a circle. The greeks considered the Egyptians as the inventors of geometry. The scribe Ahmes, the author of the Rhind papyrus, gives a rule for determining the area of a circle which corresponds to π = 256 / 81 or approximately 3.16.

www.cut-the-knot.org/Curriculum/Geometry/AreaOfCircle.shtml

Area of a Circle. Archimedes (c. 287 BC - c. 212 BC) approximated the area of a circle along with its circumference by the increasing sequence of inscribed regular polygons and the decreasing sequence of curcumscribed ones.. Rabbi Abraham bar Hiyya Hanasi (11-12 centuries) thought of the interior of a circle as consisting of layers (onion-like) of smaller circles and computed its area by ...

www.themathcircle.org/history.php

History of The Math Circle. Disturbed by the poor quality and low level of math education in the country, three of us (Bob and Ellen Kaplan, and our colleague Tomás Guillermo) began The Math Circle in September 1994.We rented space on Saturday mornings in a local church and word of mouth alone brought us 29 students for that first (ten session) semester.

www.exploratorium.edu/pi/history-of-pi

Here’s a brief history of finding π. The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.

nrich.maths.org/2561

Circle designs feature in the artefacts found from ancient civilisations and from more recent cultures all over the world. Prehistoric people were building stone circles 4,000 years ago, and you have probably heard of the most famous stone circle at Stonehenge in Wiltshire, England.

www.ams.org/publicoutreach/feature-column/fc-2012-02

Archimedes on the Circumference and Area of a Circle The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference, of the circle....