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tech note: to crop to a lat-lon rectangle on an image lacking a suitable graticule, draw a vertical line through the north pole on a transparent layer copy, then rotate it to provide the lon lines. fix the circle tool to 1:1, find the number of pixels to an outer lat line, reduce the circle appropriately, cut the center, enlarge the circle, cut the inverted selection, autocrop image.formula πR² * diff in lons * diff in sin(lats)πR² = 126916372 sq km WGS84πR² = 127516118 sq km sphere42,900 sq km WGS84 for two degree lat, 20 degrees long43,103 sq km sphere for two degree lat, 20 degrees long64,350 sq km WGS84 for two degree lat, 30 degrees long64,654 sq km sphere for two degree lat, 30 degrees long