Step 1: Understanding the geographical area of Himachal Pradesh.
The geographical area of Himachal Pradesh is 55,673 square kilometers, which is the total land area of the state.
Step 2: Analyzing the options.
- (a) 55673 Km\(^2\): Correct. The total area of Himachal Pradesh is 55,673 square kilometers.
- (b) 68580 Km\(^2\): Incorrect. This is not the correct area of Himachal Pradesh.
- (c) 40572 Km\(^2\): Incorrect. This value is too small for the area of Himachal Pradesh.
- (d) 30876 Km\(^2\): Incorrect. This is also not the correct geographical area.
Step 3: Conclusion.
The geographical area of Himachal Pradesh is 55,673 square kilometers, making option (a) the correct answer.
Final Answer:} 55673 Km\(^2\).