Find the area of the figure. Round to the nearest hundredth when necessary
2 answers:
Answer:
745.44 square mm
Step-by-step explanation:
The figure can be decomposed into ...
- a semicircle of radius 12.5 mm
- a rectangle 12.5 mm by 25 mm
- a triangle 12.5 mm by 30 mm
The relevant area formulas are ...
Semicircle: A = 1/2πr² = 1/2π(12.5 mm)² ≈ 245.437 mm²
Rectangle: A = LW = (12.5 mm)(25 mm) = 312.500 mm²
Triangle: A = 1/2bh = 1/2(12.5 mm)(30 mm) = 187.500 mm²
Total area of the figure is ...
245.437 +312.500 +187.500 = 745.437 . . . mm²
The area of the figure is about 745.44 square mm.
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