Problem Statements 1. (Geometry: Area of a Pentagon) Write a C++ program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pentagon, as shown in the following figure. The formula for computing the area of a pentagon is Area =4tan(5)5s2, where s is the length of a side the side can be computed using the formula s=2rsin5, where r is the length from the center of a pentagon to a vertex. Display 4 digits after the decimal point. Here is a sample run: Enter the length from the center to a vertex: 5.5 The area of the pentagon is 71.9236