The area of the shaded circle is given as follows: 84.82 cm².
What is the area of a circle?
The area of a circle of radius r is given by pi multiplied by the radius squared, as given by the formula presented next:
[tex]A = \pi r^2[/tex]
In this problem, we have that the important data is given in the bullet-points as follows:
- The radius is of r = 6 cm.
- The shaded area is 75% of the circle.
Hence the shaded area in cm² can be found a applying the formula given at the beginning of this problem, as is presented below:
[tex]A = 0.75\pi \times 6^2 = 84.82[/tex]
The multiplication by 0.75 happened because as stated in the bullet point, the shaded area corresponds to only 75% of the entire circle.
More can be learned about the area of a circle at https://brainly.com/question/17326298
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