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26.05.2021 •
Mathematics
7 grade math Area of compound figures with triangles, semicircles, and quarter circles
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Ответ:
area = 250.04 km^2
Step-by-step explanation:
In the image, we have the next figures.
One quart of a circle, with radius R = 12km
A large rectangle, with length L = 13km and width = 9 km
(to find the width of this rectangle, look at the bottom, we have a part of 5km, and then we have the small rectangle with a width of 4km, then 4km + 5km = 9km)
And finally, a smaller rectangle with length L = 5km and width W = 4km
Now, the general rules for each figure are:
The area of a circle of radius R, is
A = pi*R^2
with pi = 3.14
Here we have the fourth part of a circle with a radius R = 12km
Then the area of that part is:
area = (1/4)*3.14*(12km)^2 = 113.04 km^2
And the area of a rectangle of length L and width W is:
A = W*L
Then, the area of the larger rectangle is:
A' = 9km*13km = 117 km^2
And the area of the smaller rectangle is:
A'' = 4km*5km = 20km^2
The complete area of the figure is:
area = A + A' + A'' = 113.04 km^2 + 117 km^2 + 20km^2 = 250.04 km^2
Ответ: