Write a 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, where r is the length from the center of a pentagon to a vertex.

(Hint: Length of the side =2*length from the center to a vertex * sine(PI/5)

Area = (5 * Math.pow(side, 2)) / (4 * Math.tan(Math.PI /5));

For rounding to two decimal points uses String.format(“%.02f”,variablename))

**Input:**
length from center: 6.4
**Output:**
Area = 97.39

import java.io.*; import java.util.*; import java.lang.Math; public class temp{ public static void main(String[] args){ double verside , side , area; Scanner scan = new Scanner(System.in); System.out.print("Length from center to vertex: "); verside = scan.nextDouble(); side = 2*verside*Math.sin(Math.PI/5); area = (5*Math.pow(side,2))/(4*Math.tan(Math.PI/5)); System.out.println("Area of Pentagon: "+String.format("%.02f",area)); } }

**INPUT_1:**

Length from center to vertex: 6.4

**OUTPUT:**

Area of Pentagon: 97.39

**INPUT_2:**

Length from center to vertex: 5.9

**OUTPUT:**

Area of Pentagon: 82.77

**INPUT_3:**

Length from center to vertex: 6.3

**OUTPUT:**

Area of Pentagon: 94.37

**INPUT_4:**

Length from center to vertex: 5.2

**OUTPUT:**

Area of Pentagon: 64.29

**INPUT_5:**

Length from center to vertex: 11.2

**OUTPUT:**

Area of Pentagon: 298.25

**ILLUSTRATION**