Area of a Circle

This book not only describes crop circles -- mysterious geometric patterns in farm fields and other land areas -- but also focuses on their obvious, measurable, and reproducible characteristics. The product of a decade of crop circle study, it teaches readers how to approach the controversial subject systematically and critically.

How do you fold a sheet of paper into the shape of a whale? How do you measure the area of a pizza pie? How can you draw a circle within a circle without lifting your pencil from the paper? Now you can discover the answers to these and other fascinating questions about elementary geometry--the study of shapes. Packed with illustrations, Geometry for Every Kid uses simple problems and activities to teach about acute and obtuse angles, parallel and perpendicular lines, plane and space figures, and much more! By arranging the pieces of an intriguing Chinese puzzle called a tangram, you'll explore all the different shapes you can form. You'll also learn how to create a colorful 3-D drawing that seems to rise right off the page! And, by building a geoboard, you'll discover a quick, fun way to compare the area of different geometric figures. Each of the activities is broken down into its purpose, a list of materials, step-by-step instructions, expected results, and an easy to understand explanation. Every project has been pretested and can be performed safely and inexpensively in the classroom or at home.

Blood circle - In Boy Scout terminology, when using a knife or axe, the area within the radius of the arm and blade length combined is called the blood circle or safety circle. This area can be envisioned as a sphere with a person and a sharp instrument at its center.

Circular segment - In geometry, a circular segment (also circle segment) is an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a secant or a chord. The circle segment constitutes the part between the secant and an arc, excluding the circle's center.

Squaring the circle - Squaring the circle is the problem proposed by ancient Greek geometers of using a finite ruler-and-compass construction to make a square with the same area as a given circle.

Tarski's circle-squaring problem - Tarski's circle-squaring problem is the challenge, posed by Alfred Tarski in 1925, to take a circle (including its interior) in the plane, cut it into finitely many pieces, and reassemble the pieces so as to get a square of equal area. This was proven to be possible by Miklos Laczkovich in 1990; the decomposition makes heavy use of the axiom of choice and is therefore non-constructive.

areaofacircle

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