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
The Return of a Man Called Horse original "A Man Called Horse". Ebert commented that "What gets me is that initiation rite, which is repeated in this film in such grim and bloody detail you'd think people didn't have enough of it the last time. First Morgan has his pectoral muscles pierced with knife blades. Then eagle's talons are drawn through the wounds and tied to leather thongs. Then he hangs by the thongs until sufficiently purified. You'd think one ceremony like that would do the trick, without any booster shots." "The Return of a Man Called Horse" was released to DVD by MGM Home Video on