A NASA satellite showed that in 2003 the ozone hole was much larger than it was in 2002. The 2003 hole measured 1.04 x ¡¼10¡½^7 ¡¼mi¡½^2 in diameter, while the diameter of the 2002 hole was 6.9 x ¡¼10¡½^6 ¡¼mi¡½^2 Calculate the difference in size between the two holes in square meters.
To calculate the difference in size between the two holes in square meters, we first need to convert the given measurements from square miles to square meters.
1 square mile is equal to approximately 2.59 x 10^6 square meters.
Given:
Diameter of the 2003 hole = 1.04 x 10^7 square miles
Diameter of the 2002 hole = 6.9 x 10^6 square miles
Calculation:
1. Convert the diameter of the 2003 hole from square miles to square meters:
Area of the 2003 hole = (1.04 x 10^7 square miles) * (2.59 x 10^6 square meters/square mile)
2. Convert the diameter of the 2002 hole from square miles to square meters:
Area of the 2002 hole = (6.9 x 10^6 square miles) * (2.59 x 10^6 square meters/square mile)
3. Calculate the difference in size between the two holes in square meters:
Difference in size = Area of the 2003 hole - Area of the 2002 hole
Now let's do the calculations:
Area of the 2003 hole = (1.04 x 10^7) * (2.59 x 10^6) square meters
Area of the 2003 hole = 2.6936 x 10^13 square meters
Area of the 2002 hole = (6.9 x 10^6) * (2.59 x 10^6) square meters
Area of the 2002 hole = 1.7871 x 10^13 square meters
Difference in size = 2.6936 x 10^13 square meters - 1.7871 x 10^13 square meters
Difference in size = 9.0645 x 10^12 square meters
Therefore, the difference in size between the two holes is approximately 9.0645 x 10^12 square meters.