tag:blogger.com,1999:blog-6933544261975483399.post5101483906857112210..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Problem 692: Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, PolyaAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6933544261975483399.post-57863405076440445002011-11-26T05:40:01.147-08:002011-11-26T05:40:01.147-08:00Let OE = 1
EF = OB = √2
Area of yellow shaded area...Let OE = 1<br />EF = OB = √2<br />Area of yellow shaded area (square) = 2<br />Area of outer square = 4<br />Area of inner circle = π<br />Area of outer circle = 2π<br />Area of torus = 2π - π = π<br />Area of outer white = (2 π - 4)/2 = π - 2<br />Area of blue shaded area = π - (π - 2) = 2<br />We are donePravinhttps://www.blogger.com/profile/05947303919973968861noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-87394166813111902702011-11-24T07:42:37.758-08:002011-11-24T07:42:37.758-08:00side of the square : 4r
total area of 4 small cir...side of the square : 4r<br /><br />total area of 4 small circle<br />4*(pi*r^2)=4(A+yellow)<br /><br />are of big circle<br />4*pi*r^2=4(A+blue)<br /><br />blue=yellowAnonymousnoreply@blogger.com