Understanding the Area of Annulus Enclosed by Circles and Regular Polygons
Explore how the area of an annulus, enclosed by circles and regular polygons with a given side length, is calculated. The focus is on chord length (?), rather than regular polygon details, to determine the area. Follow the step-by-step explanation and visual aids provided to grasp this geometric concept effectively.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
Polygon in Annulus You have two figures that each show a regular polygon (with a given side length) just touching two circles. What is the area of the annulus, i.e. the area enclosed by the circles, in terms of ?
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 2
? ? ? ? ?
Area required = ??2 ??2 = ? ?2 ?2 2 ? 2 = ? ? ? In our case ? = 2 So our area is ? ? ? ? ? ? 2 ? 2 ? 2 + ?2= ?2
Note to teacher The regular polygons are red herrings, all that counts is the chord length, ?.
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 2 SIC_18
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 SIC_18 2
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 SIC_18 2
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 2 SIC_18
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 2 SIC_18
Each figure shows a regular polygon (with a given side length) just touching two circles. What is the area of each annulus, i.e. the area enclosed by the circles, in terms of ? 2 2 SIC_18
