Converting Strings to Integers for Calculations ) Write a program that inputs six strings that represent integers , converts the ngs to integers , and calculates the sum and average of the six values .

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6. (Geometry: area of a pentagon) The area of a pentagon can be computed using the following formula (s is the length of a side): Area 5x s² 4 X tan TT 5 Write a program that prompts the user to enter the side of a pentagon and displays the area. Here is a sample run: Enter the side: 5.5 Enter The area of the pentagon is 53.04444136781625

(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1+2+3+4 = 10 and 1 +0 = 1, while 1235 is not (1 +2+ 3 +5 = 11 and 1 +1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262 You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise not