(Diameter, Circumference and Area of a Circle) Write a program that reads in the radiusof a circle and prints the circle’s diameter, circumference and area. Use the constant value 3.14159for π. Perform each of these calculations inside the printf statement(s) and use the conversion specifier %f. [Note: In this chapter, we’ve discussed only integer constants and variables. In Chapter 3we’ll discuss floating-point numbers, i.e., values that can have decimal points.]

(Financial application: compute future tuition)Suppose that the tuition for a university is $10,000 this year and increases 5% every year. Write a program that computes the tuition in ten years and the total cost of 4 years’ worth of tuition starting after the 10th year.

(Converting Fahrenheit to Celsius) Write a program that converts integer Fahrenheit temperatures from 0 to 212 degrees to floating-point Celsius temperatures with 3 digits of precision. Usethe formulacelsius = 5.0 / 9.0 * ( fahrenheit - 32 );to perform the calculation. The output should be printed in two right-justified columns and theCelsius temperatures should be preceded by a sign for both positive and negative values.

(Converting a given date to the day number in the year) Write a program that prints the day number of the year, given the date is in the form month day year. For example, if the input is 1 1 05, the day number is 1; if the input is 12 25 05, the day number is 359. The program should check for a leap year. A year is a leap year if it is divisible by 4 but not divisible by 100. For example, 1992 and 2008 are divisible by 4, but not by 100. A year that is divisible by 100 is a leap year if it is also divisible by 400. For example, 1600 and 2000 are divisible by 400. However, 1800 is not a leap year because 1800 is not divisible by 400. Directions: Call 3 functions from your main. One to input data (pass parameters in a list) One to determine the result (use a value returning function to determine and return the result) One to display both the date and the result You can use two Python dictionaries to represent the number of days in each month for a regular and a leap year. Ex.…

(Algebra: solve 2 * 2 linear equations) A linear equation can be solved using Cramer’s rule given in Programming Exercise 1.13. Write a program that prompts the user to enter a, b, c, d, e, and f and displays the result. If ad - bc is 0, report that “The equation has no solution.”

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