The area of the region is: 63.585 square inches.
What is the area of the region cleaned?
If we have a circle of radius R, the area of said circle is:
A = pi*R^2
Particularly, if we have a section of the circle defined by an angle θ, the area of that region is:
A = (θ/2pi)*pi*R^2 = (θ/2)*R^2
In this case we have:
θ = 90° = pi/2
R = 9in
Replacing that we get:
A = (pi/4)*(9in)^2 = (3.14/4)*(9in)^2 = 63.585 in^2
If you want to learn more about circles:
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