Area of Circles

Explore the formula for the area of a circle, by cutting it into sectors and rearranging the sectors to form a figure close to a parallelogram. By increasing the no. of sectors, students observe that the figure tends to a rectangle and get the formula for the area of the circle by finding the area of this rectangle. See also how I design the applets in http://www.geogebratube.org/material/show/id/15215.                                        Anthony Or. GeoGebra Institute of Hong Kong.                                        orchiming@gmail.com (繁體中文版:http://www.geogebratube.org/material/show/id/550)

 

Anthony OR 柯志明

 
Materiaalityyppi
Työkirja
Avainsanat
area  circle  circumference  exploration  perimeter  pi 
Kohderyhmä (ikä)
11 – 14
Kieli
English (United Kingdom)
 
 
Katselukertoja
592083
Ota yhteyttä materiaalin tekijään
Lisenssi
CC-BY-SA, GeoGebra Terms of Use
Johdetut materiaalit
Fläche eines Kreises
Luonut Florian Sonner
Näytä lisää…
圓的面積
Luonut Anthony OR 柯志明
Area of Circles
Luonut tconrath
Area of Circles
Luonut phuc hoa
Area of Circles
Luonut Natasha Paunovska
Area of Circles
Luonut vbernal
Aire du disque
Luonut Pascal Lapalme
Area of Circles
Luonut Mathguru
Area of Circles
Luonut Ciro Petrosillo
Pre-Algebra: 10.4 Area of Circles
Luonut John Harris
Area of Circles
Luonut mmksavol
Area del cerchio
Luonut Daniela Leone
Area of Circles (adaptation)
Luonut EDC Interactive Math
Cirkelns area
Luonut aklejan62
Área de un círculo
Luonut Isaid Reyes Martinez
Area of Circles
Luonut garciae
Area of Circles
Luonut Romain Lancini
Area of Circles
Luonut Romain Lancini
Area of Circles
Luonut Eric Block
Area of Circles
Luonut Néstor Valles-Villarreal
Area of Circles
Luonut Bjarne
Area of Circles
Luonut Bjarne
Area of Circles
Luonut Bjarne
Area of Circles
Luonut Ισίδωρος Γλαβάς
Copy of Area of Circles
Luonut singmuang
Copy of Area of Circles
Luonut Joseph Kim
Copy of (original) Area of Circles
Luonut Joseph Kim
Copy of Area of Circles
Luonut Irina Vasilescu
Copy of Area of Circles
Luonut Meghan Averill
Explore the Area of a Circle
Luonut Anthony OR 柯志明
Flächeninhalt eines Kreises
Luonut Barbara Lichtenegger
Area of Circles
Luonut Bianca
Área do Círculo
Luonut Aline Lemmertz
Observe a fórmula do comprimento da circunferência.
Luonut Aline Lemmertz
Area of Circles
Luonut Ισίδωρος Γλαβάς
Area of Circles
Luonut Jens L. Lassen
Area of Circles
Luonut Laura Santos
Àrea d'un cercle
Luonut Ricard
Area of a Circle
Luonut C.J. Carlson
Nimetön appletti
Luonut Birgit Lachner
Area of Circles
Luonut Trastoy
Area of Circles
Luonut Gloria
Dairenin Alanını Keşfet
Luonut Alpay Bicer
Nimetön appletti
Luonut Alpay Bicer
Area of Circles
Luonut Ruth Myhre Jørgensen
Površina kruga
Luonut Olivera Nesic
Area of Circles
Luonut Nicholas Hood
Area of Circles
Luonut Lua Shixiong
Nimetön appletti
Luonut Lua Shixiong
Nimetön appletti
Luonut Reima Halmetoja
Area of Circles
Luonut Gautam Kamble
Area of Circles
Luonut Raphael Chan
By exploring the activity below you can find the formula of the area of a circle.
Luonut Aleyda Medina
Area of Circles
Luonut Jefferson Huera
Keliling dan Luas Lingkaran
Luonut etik
Cirkel area som rektangel
Luonut irina_hagman
Area of Circles
Luonut anishkumar741
Area of Circles
Luonut Jhuliene Seger
Area of Circles
Luonut Ranjana Singh
Nimetön appletti
Luonut Misty Koenig
Area of Circles
Luonut Sunu John
Area of Circles
Luonut Mr. Kellett
Area of Circles
Luonut Sandra Krauze
Copy of Area of Circles
Luonut Sonya White
Area of Circles
Luonut Jacob Orner
Area of Circles
Luonut Jack Lin
Area of Circle as Parallelogram
Luonut Gregory Belostotski
Area of Circles
Luonut Hurták Éva
Area of Circles
Luonut emvau
Nimetön appletti
Luonut David Kessler
Area of Circles - A- Ms Lina
Luonut lina7
Demo - Area of Circles
Luonut Richard
Nimetön appletti
Luonut Monika Musilek
Area of Circles by Anthony Or with questions added
Luonut Tracey Weise
Area of Circles
Luonut Daniela Leone
Area of Circles
Luonut Steve Phelps
Nimetön appletti
Luonut Martin
Area of Circles
Luonut Martin
Cópia de Area of Circles
Luonut JOSÉ ANTÔNIO DA SILVA ANDRADE
Área de un círculo
Luonut Ruben González Míguez
Area of Circles
Luonut Bijay Balal
Area of Circles
Luonut Fabian Loth
Copy of Area of Circles
Luonut Math Isip
Area of Circles
Luonut v_hofmann
Nimetön appletti
Luonut Kika Georgiou
 
 
© 2026 International GeoGebra Institute