Palayiapin Jlyies LUILITY Task02: An orange square is inscribed inside a circle as shown in the diagram below. Write an interactive Java program that prompts for and reads the area of the square in square centimeters. It then calculates and prints the area of the green part in square centimeters. Your program must catch java.util.Input MismatchException and display an appropriate error message in case such an Exception is thrown. Note: Your program must not use selection statements. Sample program runs: Enter the area of the square [sq cm) : t Error: Invalid input Enter the area of the square (sq cm) : 26.75 Green area = 15.27 square cm Enter the area of the square [sgcm]: 16.0 Green area = 9.13 square cm Enter the area of the square [sg cm] : -56.0 Green area = NaN square cm Note: The last output error is due to passing a negative number to the square root method. This error can be avoided by using selection statement. We will cover selection statements later on in the course