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A Day in the Life of a Wild Positron
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Mostly Mathematics
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A Day in the Life of a Wild Positron
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A Day in the Life of a Wild Positron | Mostly Mathematics A Day in the Life of a Wild Positron Mostly Mathematics Home About jump to navigation Calculating the area of a sector April 5, 2011 Posted by Phi. Isett in Uncategorized . Tags: Area , change of variables , circles , geometry , Sector 1 comment so far Here’s a nice way to calculate the area of a sector. sectorArea Take your sector of a disk (it could be the whole disk but for now it’s better to picture only a partial sector with 2 radial “edges”) of radius R. Now, foliate it into circular arcs having radii , starting each arc at the same edge of the sector. Now, straighten each of those circular arcs so that they are perpendicular to the edge from which they begin. The circular arc of radius has length where is the angle of the sector. After straightening, you end up with a triangle of base and of height (this is because is the length of the outermost circular arc). Punch-line...
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