Area of a circle trigonometry, uses the coarea formula. Define a function formula_10 by formula_11. Note ρ is a Lipschitz function whose gradient is a unit vector formula_12 (almost everywhere). Let "D" be the disc formula_13 in formula_14. We will show that formula_15, where formula_16 is the two-dimensional Lebesgue measure in formula_14. We shall assume that the one-dimensional Hausdorff measure of the circle formula_18 is formula_19, the circumference of the circle of radius "r". (This can be taken as the definition of circumference.) Then, by the coarea formula, Similar to the onion proof outlined above, we could exploit calculus in a different way in
Straight Out of Line Straight Out of Line "Straight Out of Line" is the lead single from Godsmack's third studio album "Faceless". After its release, the song immediately ascended to number one on the Mainstream Rock chart, and hit the top 10 on the Modern Rock chart. It was also the band's third number one on the Mainstream Rock Tracks chart and remained at that specific position for two weeks. It is also their highest charting single on the Billboard Hot 100, reaching No. 73. "Straight Out of Line" is dedicated to old friends who sneer at Sully across a crowded room because of