PLEASE HELP! If a = 5 m and b = 4 m, which of the following is closest to the area of the sign? A. 22.57 m2 B. 16.285 m2 C. 26.285 m2
First, we fine the area of the semicircle. The area of a circle is πr2, so to the find the area of a semicircle we'd just half it. So:\[\pi r^{2} = \pi (2)^{2} = 12.57\] Then, we'd get half of that (Because it's a semicircle):\[\frac{ 12.57 }{ 2 } = 6.285\] So, roughly, the area of the semicircle is 6.3, or just 6.
Next, we have to find the area of the triangle. The area of a triangle is:\[\frac{ hb }{ 2 }\] So, we'd plug it in;\[\frac{ (5)(4) }{ 2 } = 10\] So, to find the area of the shape, we'd just add the area of the triangle and the semicircle;\[10 + 6.2 = 16.2\] So, your answer should be B. Does this make sense?
@Anonymous_Hacker
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