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Answer :
The area of the hubcap is 427.02 square centimeters.
If the circumference of the hubcap were smaller, it would change the radius of the hubcap. Since the circumference of the circle is directly proportional to the radius of the circle, therefore, if the circumference is smaller, the radius of the circle will also be smaller which in turn will result in a smaller area of the hubcap.
The circumference of the hubcap is given as 73.35 cm.
Using the formula of circumference of the circle,
we get;`Circumference = 2 × pi × r`
We have been given the circumference, we can calculate the radius as;`
Circumference = 2 × pi × r`
=> `73.35 = 2 × 3.14 × r`
=> `r = 73.35/(2 × 3.14)`
=> `r = 11.68`
The radius of the hubcap is 11.68 cm
Now we can use the formula of area of a circle to calculate the area of the hubcap.
`Area of the hubcap = pi × r²`
=> `Area of the hubcap = 3.14 × 11.68²`
=> `Area of the hubcap = 427.02 square cm`
Learn more about centimeter from given link
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