Answer: 49.12 square feet
This value is approximate because we used the approximation pi = 3.14
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Explanation:
For problems like this, a common approach is to break the figure into smaller pieces. Find the area of each small piece, then add up those individual areas to get the full area we're after.
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A = area of triangle
A = 0.5*base*height
A = 0.5*6*8
A = 24 square feet
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B = area of the semicircle with radius r
B = 0.5*(area of full circle with radius r)
B = 0.5*(pi*r^2)
B = 0.5*pi*r^2
B = 0.5*3.14*4^2 .... the diameter is 8, radius is half that
B = 25.12 square feet
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C = area of the full figure
C = A+B
C = 24+25.12
C = 49.12 square feet
