SOLUTION: a figure is made of a square and a semicircle.The square has sides of 16m each.One side of the square is also the diameter of the semicircle.what is the total area of the figure

Question 852684: a figure is made of a square and a semicircle.The square has sides of 16m each.One side of the square is also the diameter of the semicircle.what is the total area of the figure
Found 3 solutions by Theo, MathTherapy, LinnW:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the area of the square is 16 * 16 = 196 square units.

the radius of the semi-circle is 8.
this is equal to 1/2 times the diameter which is 16.
the area of the semi-circle is 1/2 * pi * 8^2 = 32 * pi square units.

total area is equal to 196 + 32 * pi square units.
this is approximately equal to 296.53 square units.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

a figure is made of a square and a semicircle.The square has sides of 16m each.One side of the square is also the diameter of the semicircle.what is the total area of the figure

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Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
It appears that we have a semicircle over a square.
The area of the square is 16*16 = 256
The area of the semicircle is
since the radius of the semicircle is 1/2 of the diameter of 16.
=

So the total area is
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