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 from the Heart (Patrice Rushen album) "Straight from the Heart" a "C+" and said that he prefers side one's "dancy vamp" over the songwriting on side two by Rushen, whom he called a fashionable "ingenue". In a retrospective review, AllMusic's Andy Kellman gave it four out of five stars and called it "an early-'80s jazz-pop-R&B synthesis as durable and pleasing as any other". In 2018, Pitchfork ranked Straight From the Heart #194 on its list of the 200 Greatest Albums of the 1980s. Straight from the Heart (Patrice Rushen album) Straight from the Heart is the seventh studio album by American recording artist Patrice Rushen, released