Respuesta :
Answer:
Below in bold
Step.-by-step explanation:
It consists of 5 isosceles triangles of equal sides 4 cm and vertex angles 360 / 5
= 72 degrees.
Area of 1 triangle = 1/2 * 4^2 *sin 72
Area of the whole pentagon = 5 * 1/2 *4^2 * sin 72
= 38.04 cm^2.
As the radius of the pentagon is given we can use the followinhg formula
A = [tex]\frac{5}{2}[/tex] r² (sin72°) where r is the radius.
What is a polygon ?
Polygons are 2D shapes formed by 3 or more than three lines closed means all lines connect up.There are two types of polygons reguler polygons and irreguler polygons.Here poly means many and gons means angles so it is formed by many lines closed and forming angles where each line connects.
In the given question radius is given 4cm so we will put the value of the radius in our formula A = [tex]\frac{5}{2}[/tex] r² (sin72°) = A = [tex]\frac{5}{2}[/tex] (4)² (sin72°) =34.04sq cms.
Learn more about Polygons here:
https://brainly.com/question/10441863
#SPJ2
