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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place

Find The Area Of The Figure Below Composed Of A Rectangle And A Semicircle The Radius Of The Circle Is Shown Round To The Nearest Tenths Place class=

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Answer:

  179.3 square units

Step-by-step explanation:

The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.

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Semicircle

The area of a circle with radius 5 is ...

  A = πr²

  A = π(5²) = 25π

The area of the semicircle is half that:

  semicircle area = (25π)/2 = 12.5π ≈  39.3 . . . . square units

Rectangle

The area of a rectangle with length L and width W is ...

  A = LW

The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.

  A = (14)(10) = 140 . . . . square units

Total area

The sum of the areas of the parts is ...

  total area = semicircle area + rectangle area

  total area = 39.3 + 140 = 179.3 . . . . square units

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