Answer :
As the circumference is less, the radius must be greater would also be smaller, resulting in a smaller area.
What is the formula for calculating a circle's surface area?
The following formula is used to determine a circle's area:
Area = πr²
where r is the circle's radius and (pi) is a mathematical constant that denotes the proportion of a circle's circumference to its diameter. The numerical value of is around 3.14.
We need to know the hub cap's radius in order to calculate its area. The radius can be calculated using the formula for a circle's circumference.
A circle's circumference equals 2r.
Assuming that the hub cap's circumference is 84.59 cm, we may find r by using the following formula:
84.59 = 2πr
r = 84.59 / (2π)
13.47 centimeters are r.
Now that we are aware of the hub cap's radius, we can calculate its area using the formula for a circle.
Circle area is equal to r2.
Area = π(13.47)²
571.96 square centimeters in size
The radius and area of the hub cap would alter if the hub cap's circumference were decreased. As the circumference is less, the radius must be greater would also be smaller, resulting in a smaller area.
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