The area of the Captain America's circular shield is 4560.36 cm²
From the question,
We are to determine the area of Captain America's circular shield, which has a diameter of 76.2 cm.
To do this,
We will use the formula for finding the area of a circle.
The formula for the finding the area of a circle is
[tex]A = \pi r^{2}[/tex]
Where, A is the area
and r is the radius of the circle
From the question
Diameter of the circular shield = 76.2 cm
First, we will determine the radius of the circular shield
From
[tex]Radius = \frac{Diameter}{2}[/tex]
∴ Radius of the circular shield = [tex]\frac{76.2}{2}[/tex] cm
Radius of the circular shield = 38.1 cm
Now, for the area of the shield
r = 38.1cm
∴ Area of the shield = [tex]\pi \times 38.1^{2}[/tex]
Area of the shield = 1451.61π
(Take π = 3.14159)
∴ Area of the shield = 1451.61 × 3.14159
Area of the shield = 4560.36 cm²
Hence, the area of the circular shield is 4560.36 cm²
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