Answer:
The area of the largest circular disk that he can cut from this sheet of aluminum is 452.16 in².
Step-by-step explanation:
Given:
Mr.Gork has square sheet of aluminum that measure 24 in on each side.
Now, to find the area of the largest circular disk that he can cut from this sheet of aluminum.
As, the side of the square sheet of aluminum is given 24 in.
So, the diameter of the largest circular disk that he can cut from this sheet of aluminum is 24 in.
Now, we get the radius of the circular disk:
Radius (r) = Diameter ÷ 2
Radius (r) = [tex]24\div2[/tex] = [tex]12\ in.[/tex]
And, now to get the area of the circular disk we put formula:
[tex]Area=\pi r^2[/tex]
( Taking, π = 3.14 )
[tex]Area=3.14\times (12)^2\\\\Area=3.14\times 144\\\\Area=452.16\ in^2.[/tex]
Therefore, the area of the largest circular disk that he can cut from this sheet of aluminum is 452.16 in².
