2.3 Surface Area of the Earth Due to its rotation, the Earth does not have a perfectly spherical shape. Rather, it is more an oblate spheroid. The World Geodetic System is a set of standards for describing the shape of the Earth. In the latest revision, the Earth's geoid is approximated to a reference ellipsoid that takes the form of an oblate spheroid with semi-major and semi-minor axes a = 6378137.0 meters and c = 6356752.314245 meters, respectively. The formula for the surface area of this oblate spheroid is given by the equation: Oblate Spheroid Castelnai . ...me LAB 2: Variables, Equations, and Error in Python = 21ta? [1 (4) atanh(e)], where ez = 1 - Sobl + a2 a) Write a python program to compute the surface area of the Earth, Sobl, using the above given values of a and c. Be sure to use formatted output with an appropriate number of significant figures. b) Now, write a second simple program that computes the surface area of the Earth assuming that the Earth is a perfect sphere with a radius of 6371 km. c) Finally, compute the relative error between the two values you calculated in parts a) and b). 2.3 Surface Area of the Earth Due to its rotation, the Earth does not have a perfectly spherical shape. Rather, it is more an oblate spheroid. The World Geodetic System is a set of standards for describing the shape of the Earth. In the latest revision, the Earth's geoid is approximated to a reference ellipsoid that takes the form of an oblate spheroid with semi-major and semi-minor axes a = 6378137.0 meters and c = 6356752.314245 meters, respectively. The formula for the surface area of this oblate spheroid is given by the equation: Oblate Spheroid Castelnai . ...me LAB 2: Variables, Equations, and Error in Python = 21ta? [1 (4) atanh(e)], where ez = 1 - Sobl + a2 a) Write a python program to compute the surface area of the Earth, Sobl, using the above given values of a and c. Be sure to use formatted output with an appropriate number of significant figures. b) Now, write a second simple program that computes the surface area of the Earth assuming that the Earth is a perfect sphere with a radius of 6371 km. c) Finally, compute the relative error between the two values you calculated in parts a) and b)