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A semicircle is cut out of a square as shown. What is the area of the resulting figure?DDDD cccc
None of the above
Step 1: From the figure, diameter of the semicircle = length of the side of square = 7 in.
Step 2: Radius of the semicircle = = = 3.5 in.
Step 3: Area of the semicircle = ( 2 )/2
Step 4: [Substitute the values of and .]= (3.14 x 3.52)/2
Step 5: [Simplify.]= 19.2325
Step 6: Area of the semicircle = 19.23 in.2[Round to the hundredths.]
Step 7: Area of the square = 2 = 7 x 7 = 49 in.2
Step 8: Area of the resultant figure = area of the square - area of the semicircle
Step 9: [Substitute the values.]= 49 - 19.23
Step 10: [Subtract.]= 29.77 in.2
Step 11: Area of the resultant figure = 29.77 in.2