Area of a circle "ds" over the whole circle formula_33 is just the arc length, which is its circumference, so this shows that the area "A" enclosed by the circle is equal to formula_34 times the circumference of the circle. Note that the area of a semicircle of radius r can be computed by the integral formula_35. By trigonometric substitution, we substitute formula_36, hence formula_37 The last step follows since the trigonometric identity formula_42 implies that formula_43 and formula_44 have equal integrals over the interval formula_45, using integration by substitution. But on the other hand, since formula_46, the sum of the two integrals is
Straight Line Stitch Straight Line Stitch Straight Line Stitch is an American metalcore band from Knoxville, Tennessee. Straight Line Stitch initially formed around 2000 and issued an EP and a demo album before adding female vocalist Alexis Brown from Clarksville, Tennessee to the band in 2003. Brown sang on their self-released 2006 effort "To Be Godlike" and then on an EP entitled "The Word Made Flesh" for which they filmed a video for the single "Remission". The video's director, Dale Resteghini, owned the production company Raging Nation Films; in 2007 he formed a subsidiary label of Koch Records called Raging Nation Records, and