HELP FAST SO CONFUSED Find the area of the shaded sector. Leave your answer in terms of π.

Mathematics

2 answers:

sveta [45]3 years ago

5 0

area of a circle is pi x r^2

r = 9 ft so 9^2 = 81

so the full area in terms of PI is 81PI

now the shaded area is 120 degrees ( one third of the full area)

120/360 = 1/3

so divide 81 by 3 = 81/3 = 27

so shaded area is 27PI

ddd [48]3 years ago

4 0

Total area: pi*9^2 = 81pi

Shaded area = Total area / 3, because 120/360 = 1/3

So Shaded area = 81pi/3 = 27pi

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Answer:

D. Corresponding.

Step-by-step explanation:

Interior angles are always on the inside of a set of lines, an example being that if the answer had been interior angles, the top orange line would most likely move just below the straight line it is resting upon and turn so that it would look something like the first picture attached. The picture attached shows a. alternate interior. They can be considered alternate due to the fact that they are on two different sides of that diagonal line.

Exterior angles would be where they are placed in the drawing you provided now, except alternate exterior angles would be on alternating sides of that significant diagonal line. A picture is attached and shows what b. alternate exterior might look like.

Vertical angles appear on opposing sides. This one is hard to word, but I will attach a picture if it allows me to. You see in your picture where the top orange line is resting? Jump across that line. Jump one down in that little acute angle place that is still touching the top horizontal line. This is where you would have had to place your bottom orange angle to make it vertical.

Corresponding angles are just like shown in the question you were given. With corresponding angles, they are always on the same side of the diagonal lines splitting the sides, yet one will seem to rest on the interior and the other will rest on the exterior so that they both look exactly the same curve wise. I would provide a chart online since this is not really one to draw since you already have, but I do not want this answer taken down for plagiarism. Just look up corresponding angles online and it should show you what I mean.