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May 23rd, 2012, 09:16 PM  #1 
Member Joined: Jul 2009 Posts: 34 Thanks: 0  Area enclosed by a semicircle and a quarter circle
Find the shaded area, which is enclosed by a square, semicircle and a quarter of circle. [attachment=0:1naeango]shaded area.JPG[/attachment:1naeango] 
May 25th, 2012, 08:57 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,943 Thanks: 1132 Math Focus: Elementary mathematics and beyond  Re: Area enclosed by a semicircle and a quarter circle
Using degree measure for angles, 
May 25th, 2012, 09:52 PM  #3 
Member Joined: Jul 2009 Posts: 34 Thanks: 0  Re: Area enclosed by a semicircle and a quarter circle
Got it. Thanks. How do you get cos1(0.6) and cos1(06)? 
May 25th, 2012, 10:08 PM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,943 Thanks: 1132 Math Focus: Elementary mathematics and beyond  Re: Area enclosed by a semicircle and a quarter circle
Angle AGD has a cosine of 3/5 and angle GED has a cosine of 3/5. I found these values with the cosine rule. 1. Calculate the area of the kite ADEG and from that subtract the area of circular sector ADG. 2. Calculate the area of circular sector EDG and from that subtract the result of step 1 and that gives you the shaded area. 
May 3rd, 2014, 01:06 AM  #5 
Newbie Joined: May 2014 From: Dagupan Posts: 1 Thanks: 0 
whoa thanks. got the same problem too. 

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