Respuesta :
Answer:
432π cm² or 1356.48 cm²
Step-by-step explanation:
The area of a circle is πr²
The area of the disks are 144π and 576π.
576π-144π = 432π
432π ≈ 1356.48 cm²
The difference between the areas of the two flying disks is
108π cm²
The formula for calculating the area of the disk is expressed as:
[tex]A=\frac{\pi d^2}{4}[/tex]
d is the diameter of the circle
For the disk with a diameter of 12cm
[tex]A_1=\frac{\pi (12)^2}{4}\\A_1=36 \pi[/tex]
For the disk with a diameter of 24cm
[tex]A_2=\frac{\pi (24)^2}{4}\\A_2=144 \pi cm^2[/tex]
The difference in their area is expressed as:
[tex]D = A_2-A_1\\D = 144 \pi - 36 \pi\\D = 108 \pi cm^2[/tex]
Hence the difference between the areas of the two flying disks is
108π cm²
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