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July 2nd, 2013, 08:23 PM  #1 
Newbie Joined: Jul 2013 Posts: 1 Thanks: 0  Trigonometry  I don't understand the solution http://i.imgur.com/vYqr0X5.jpg Area of half a circle is (pi*r^2)/2 What happened to pi? phi  sin(phi) ???? 
July 2nd, 2013, 08:38 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,210 Thanks: 518 Math Focus: Calculus/ODEs  Re: Trigonometry  I don't understand the solution
What they have done to find the area of the shaded portion is to take the area of the circular sector, and subtracted the area of the isosceles triangle. The are of the circular sector is: The area of the triangle is: Hence: 

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