What is the area of the shaded region to the nearest tenth of a foot? part a) explain what formulas you will use to find the area of the shaded area. par b) explain how you find the area of the shaded region. what was your thought process?

A) The shaded region is that portion of the rectangle that is not in the circle. You need the formulas for the area of a rectangle and a circle.
 Area of rectangle = length*width
 Area of circle = (π/4)*diameter²

b) The figure shows the width of the rectangle is 14 ft, the same as the diameter of the circle. The length of the rectangle is shows as 21 ft. The shaded area is the difference ...
 Shaded Area = Area of rectangle - Area of circle
 Shaded Area = (21 ft)*(14 ft) - (π/4)*(14 ft)²
Evaluating this expression, we have
 Shaded Area ≈ 294 ft² - 153.9 ft² = 140.1 ft²

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