To find the area of the hub cap, we need to use the formula for the circumference of a circle, which is:
C = 2πr
where C is the circumference, π is the constant pi, and r is the radius of the circle. We can rearrange this formula to solve for the radius:
r = C / 2π
Plugging in the given circumference of 73.04 centimeters, and using 3.14 for π, we get:
r = 73.04 cm / (2 x 3.14)
r = 11.62 cm
Now that we know the radius, we can use the formula for the area of a circle:
A = πr^2
Plugging in the radius we just found, we get:
A = 3.14 x (11.62 cm)^2
A = 424.5 cm^2
Therefore, the area of the hub cap is 424.5 square centimeters.
If the circumference of the hub cap were smaller, this would mean that the radius of the hub cap would be smaller as well. This would result in a smaller area for the hub cap, since the area of a circle is proportional to the square of its radius. So a smaller circumference would mean a smaller area for the hub cap.
