When calculating the total area of this unknown figure, you should use (π - r²)/4 for the area of both the semicircle (half circle) and the larger square.
How to determine the total area?
By critically observing this unknown figure, we can logically deduce that it comprises a semicircle, squares, a rectangle and a triangle. Thus, its total area should be calculated by adding the area of each of the geometric figures together.
Total area = A₁ + A₂ + A₃ + A₄
However, you should take note that the diameter of the semicircle (half circle) is equal to the side length of the larger square.
Area of a semicircle = πr²/4
Thus, the total area of both the semicircle (half circle) and the larger square is given by:
Area = πr²/4 - d²
Note: d = 2r
Area = πr²/4 - (2r)²
Area = πr²/4 - 4r²
Area = (π - r²)/4 sq. units.
Read more on area of square here: https://brainly.com/question/8902873
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