Answer:
Area of lid = 804.35 square inches.
Step-by-step explanation:
Given the following data;
Circumference of lid = 32π inches
To find the area of the lid;
First of all, we would find the radius of the lid (circle).
Circumference of circle = 2πr
Substituting into the formula, we have;
32π = 2πr
Radius, r = 32π/2π
Radius, r = 16 inches.
Now, we can solve for the area of the circle using the formula;
Area of circle = πr²
Area of lid = 3.142*16²
Area of lid = 3.142 * 256
Area of lid = 804.35 square inches.
In terms of pie, area of lid = 256π square inches.
Therefore, the measurement which is closest to the area of the lid in square inches is 804.35 or 256π.
