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Please answer my question with a thorough explanation.

Please answer my question with a thorough explanation.-example-1
User Wnoise
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Answer:

(52 +32π) mm² ≈ 152.5 mm²

Explanation:

The idea with these composite shapes is to divide them into parts whose area formulas you know.

This shape can be divided into two rectangles and a semicircle. The relevant area formulas are ...

Semicircle Area = 1/2πr² . . . . . r is the radius

Rectangle Area = LW . . . . . . . . L and W are the length and width

__

The area of the semicircle with radius 8 mm is ...

Semicircle Area = 1/2π(8 mm)² = 32π mm²

The area of the rectangle at left is ...

Left Rectangle Area = (6 mm)(2 mm) = 12 mm²

The area of the rectangle at right is ...

Right Rectangle Area = (8 mm)(5 mm) = 40 mm²

__

The total figure area is ...

Figure Area = Semicircle Area + Left Rectangle Area + Right Rectangle Area

Figure Area = 32π mm² +12 mm² +40 mm²

Figure Area = (52 +32π) mm² ≈ 152.5 mm²

Please answer my question with a thorough explanation.-example-1
User HixField
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