The step in which Gwen made an error for the area of the shaded region in the circle is given by:
A. Step 5.
What is the measure of the circumference of a circle?
The circumference of a circle of radius r is given by:
C = 2π r.
For this problem, the circumference is of 6π units, hence the radius is given as follows:
6π = 2π r.
r = 6/2.
r = 3 units.
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 follows:
A = πr².
The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:
A = (72/360) πr².
Which is where Gwen made an error, at Step 5, hence option A is correct.
More can be learned about the area of a circle at https://brainly.com/question/17326298
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