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Angelina_Jolie [31]
3 years ago
14

A swimming pool has a diameter of 32 feet. What is the area of the swimming pool that needs to be covered by a tarp?

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0
To get the area of a circle, use this formula: A = \pi * radius^2

We can use 3.14 for \pi.
And because this formula uses the radius and not the diameter, we will need to convert the diameter into a radius. The radius is half of a diameter.

32 / 2 = 16

Now we have our radius.

A = 3.14 * 16^2
A = 3.14 * 256
A = <span>803.84

So, you will need to have a tarp that is at least 803.84 feet squared to cover the pool.</span>
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\angle\,JLF = 114^o  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from 180^o, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as 90^o and 138^o. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 360^o-90^o-138^o=132^o

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Now referring to the green sided right angle triangle we can find find angle JLG, using: 180^o-24^o-90^o=66^o

Finally, the requested measure of angle JLF is obtained via: 180^o-66^o=114^o

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Hope this helps! :3

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