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Attempt following question by selecting a choice to answer. c A semicircle is cut out of a square as shown. What is the area of the resulting figure?

DDDD cccc A.

c 20.17 in.

^{2} B.

c 12.77 in.

^{2} C.

c 29.77 in.

^{2} D.

c None of the above

cc
C

Step 1: From the figure, diameter of the semicircle = length of the side of square = 7 in. Step 2: Radius of the semicircle = diameter 2 = 7 2 = 3.5 in.
Step 3: Area of the semicircle = ( π r ^{2} )/2
[Formula.] Step 4: [Substitute the values of π and r .]= (3.14 x 3.5^{2} )/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 = s ^{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}