 My Math Forum Comparing perimeter and area of the inscribed polygons
 User Name Remember Me? Password

 Algebra Pre-Algebra and Basic Algebra Math Forum

 October 12th, 2009, 01:33 AM #1 Newbie   Joined: Oct 2009 Posts: 2 Thanks: 0 Comparing perimeter and area of the inscribed polygons question Use a circle with a radius of 1/2 unit i.e. diameter of 1 unit Compare the perimeter and area of the following inscribed polygon, the circle and the circumscribed polygon for the following i) regular hexagon ii) a regular decagon iii) regular dodecagon iv) a regular icosagon Predict what would happen if you continued to increase the number of sides in the polygon? Test your prediction with a regular polygon of 180 sides. I can probably work out the rest of the polygons if two are shown to me. Help is greatly appreciated Thank you October 12th, 2009, 03:33 AM #2 Senior Member   Joined: Mar 2007 Posts: 428 Thanks: 0 Re: Comparing perimeter and area of the inscribed polygons You can do a drawing as well as can we, so let's just be descriptive: Divide each polygon into triangles. You don't need to draw them all, just count them to find the total area of the polygon. Use the Angle Sum of a Polygon formula to find each angle. You'll need that and some simple right triangle trig to find other lengths. Use those lengths to calculate what you need, area of triangle, radius of circle, .... You must be given one starting dimension, so use a length of 1 for each side, or you could use a radius of 1 for one of the circles ...the rest is just basic trig using the triangles you drew and the angle found from the Angle Sum formula. Can you submit a drawing showing some effort and we can take it from there? Tags area, comparing, inscribed, perimeter, polygons Search tags for this page

,

### irregular hexagon inscribed in a circle

Click on a term to search for related topics.
 Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post automan12 Algebra 0 May 30th, 2013 12:32 AM tiba Algebra 3 June 20th, 2012 05:56 AM Chee Calculus 1 April 1st, 2012 04:47 PM tsl182forever8 Algebra 1 February 28th, 2012 10:58 PM frankiee Algebra 7 February 6th, 2010 07:39 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.      