Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Input: Problem: if the radii of umbra and penumbra cast by an object on a wall are of the ratio 2 : 6 , what is the area of the penumbra ring around the umbra of the latter ' s radius is 40 cms ?
Options: ['a ) 40288.57 cm ^ 2', 'b ) 40388.57 cm ^ 2', 'c ) 40488.57 cm ^ 2', 'd ) 40588.57 cm ^ 2', 'e ) 40688.57 cm ^ 2']
Output:
a