Answer:
Total price of the glass is = $904.78
Step-by-step explanation:
Let's start by finding what is the surface area (in square meters) of the circular piece of glass. The information we have is that the radius of it is 8.0 meters. So we recall the formula for the area of the circle in terms of its radius (the product of the number [tex]\pi[/tex] times the square of the circle's radius):
Area of circle = [tex]\pi \,r^2[/tex]
Therefore, since the circle we need to investigate has radius 8 meters, the formula now becomes:
Area of circle = [tex]\pi \,r^2=\pi\,\,(8\,m)^2=201.062\,m^2[/tex]
Now, since they charge the glass per square meter ($4.50 per square meter), we just multiply the number of square meters we found for the glass' surface times the price per square meters, and get:
Total price = $4.50 * 201.062 = $904.78
