"Find the area of the figure to the..." was answered by our community

jernplate8

Answered question

2020-12-29

Find the area of the figure to the nearest tenth. [Pic]

Answer & Explanation

Anonym

Skilled2020-12-30Added 108 answers

I guess we're supposed to know that the shape on the right is a half-circle. So then this is basically just a square with a half-circle bite taken out of it.
So let's calculate the area of the square before Pacman came along and chewed on it.
Area of the square= $(6 f t) \times (6 f t) = 36 f t^{2}$
Now let's figure out how much area is missing. The area is half of a circle with diameter 6 ft. So its radius is 3 ft. The area of a whole circle is given by $π \times r a d i u s^{2}$ . So the area of the missing part is
Area of half of a circle= $\frac{1}{2} \times 3.14 \times {(3 f t)}^{2} = 14.1 f t^{2}$
Now we know that the area of the green part is just the area of the full square minus the area of the part that's missing. Hence
Area= $36 f t^{2} - 14.1 f t^{2}$
Area= $21.9 f t^{2}$

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