ecks whether the point is within the circle centered at (0, 0) with radius 10. For example, (4, 5) is inside the circle and (9, 9) is outside the circle, as shown in Figure 3.7a. (Hint: A point is in the circle if its distance to (0, 0) is less than or equal to 10. The formula for computing the distance is 2(x2 - x1)2 + (y2 - y1)2. Test your program to cover all cases.) Two sample runs are shown below:   Enter a point with two coordinates: 4 5 Point (4.0, 5.0) is in the circle Enter a point with two coordinates: 9 9 Point (9.0, 9.0) is not in the circle

(Find the two highest scores)Write a program that prompts the user to enter the number of students and each student’s name and score, and displays the name and score of the student with the highest score and the student with the second-highest score.Sample RunEnter the number of students: 5Enter a student name: SmithEnter a student score: 60Enter a student name: JonesEnter a student score: 96Enter a student name: PetersonEnter a student score: 85Enter a student name: GreenlawEnter a student score: 98Enter a student name: ZhangEnter a student score: 95Top two students:Greenlaw's score is 98.0Jones's score is 96.0

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