Answer:
432 square centimeters
Step-by-step explanation:
Given :
The circumference of a hub cap is = 73.66 cm
The circumference of a circle is given as = 2πr, where r is the radius of the circular hubcap.
So , 2πr = 73.66
⇒ [tex]$r=\frac{73.66}{2 \times \pi}$[/tex]
⇒ [tex]$r=\frac{73.66}{2 \times 3.14}$[/tex] (Using, π = 3.14)
⇒ r = 11.73 cm
Therefore the area of the hub cap is given by A = [tex]$\pi r^2$[/tex]
A = [tex]$3.14 \times 11.73 \times 11.73$[/tex]
= 432 [tex]$cm^2$[/tex]
If the circumference of the hubcap were smaller, the area of the hubcap would be smaller too, since the circumference of the hubcap is proportional to the radius which is proportional to the area too.
