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Find the area

10ft
8ft
A = [ ? ] ft2

Find the area 10ft 8ft A = [ ? ] ft2-example-1
User Glicerico
by
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1 Answer

5 votes

Answer:

105.12ft²

Explanation:

Separate the figure into two parts - the 10ftx8ft rectangle, and the semicircle with the 8ft diameter.

1. Area of rectangle = 10ftx8ft = 80ft²

2. The area of a whole circle is found with the formula A=πr², where r is the radius. Since the diameter is twice the radius, r=d/2=8f/2=4ft.

So the area of a whole circle with an 8ft diameter is A=πr²=π(4ft)²=16πft². But we only have a semicircle, so divide by 2:
16πft²/2=8πft²≈8(3.14)ft²=25.12ft²

3. Add the two areas together: (80+25.12)ft²=105.12ft²

User Chuyik
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