tag:blogger.com,1999:blog-3829599.post2993043006506662739..comments2017-03-12T10:07:49.832-07:00Comments on Agoraphilia: Circular ReasoningGlen Whitmannoreply@blogger.comBlogger4125tag:blogger.com,1999:blog-3829599.post-69575805570702697812016-03-08T18:47:26.602-08:002016-03-08T18:47:26.602-08:00No, because the diameter is just twice the radius,...No, because the diameter is just twice the radius, so reducing the diameter by 2/3 is the same as reducing the radius by 2/3. What you want is to reduce the area by about 2/3. Since Area = pi*r^2, you need to reduce the radius by just enough that the *squared* radius decreases by about 2/3. It turns out that reducing the radius to about 0.56 of its original value (which squared is 0.31, the actual ratio we need) would do the trick. Glen Whitmanhttp://www.blogger.com/profile/01425907466575991113noreply@blogger.comtag:blogger.com,1999:blog-3829599.post-76746161054816154682016-03-06T05:02:53.588-08:002016-03-06T05:02:53.588-08:00So if they'd reduced the diameter by 2/3 inste...So if they'd reduced the diameter by 2/3 instead of the radius, that would be OK? [Probably not, the old brain doesn't feel like getting into the math right now!]ligneushttp://www.blogger.com/profile/00906867668009351290noreply@blogger.comtag:blogger.com,1999:blog-3829599.post-84265437180023872592012-05-26T09:13:36.802-07:002012-05-26T09:13:36.802-07:00If students are upgraded to find the area of circl...If students are upgraded to <a href="http://areacircle.com/formula-to-find-the-area-of-a-circle.html" rel="nofollow">find the area of circle</a> sections by dividing angle of 360 degrees according to section, then pie charts are no more harder for them. This makes them very comfortable and proud so that they get inspiration to do difficult math.Manjithttp://www.blogger.com/profile/09161629919203395902noreply@blogger.comtag:blogger.com,1999:blog-3829599.post-73763227414856482712012-05-16T09:29:04.307-07:002012-05-16T09:29:04.307-07:00Pie/circle graphs are always confusing, even if yo...Pie/circle graphs are always confusing, even if you do it right. A chimney graph would be much better for showing a drop in value or number or whatever.Philip Whitmanhttp://www.blogger.com/profile/12118550326045800125noreply@blogger.com