the area is 45 and the radius is 4
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serkel sekter, radius=4, angel=45 deg

chord length=3.0615 =base av triangel, from 2*radius*sine(22.5 deg)

sekter area=6.283185

triangel area=5.656854

segment area=0.626331

ark hite=0.304482

triangel hite=3.69552
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