Susan designed a circular pool with diameter of 25 meters. What is the area of the bottom of the pool?

Mathematics

2 answers:

wel3 years ago

7 0

Answer: Area = 490.87 meters

Step-by-step explanation:

A=πr2

r = 12.5 (1/2 of diameter)

A = 490.87 meters

hjlf3 years ago

4 0

Step-by-step explanation:

We know that the formula to find the area of a circle is πr^2 or in other words, pi times the radius squared. We have been given the diamter of 25 inches. We know that the diamater is double the radius. 25 divided by 2 will get us 12.5. If we write this in equation form (or substitute the variables) will be written as: (3.14)12.5^2, 3.14 being pi. Now, we would multiply the radius by radius (because it's squared) or in other words, (12.5*12.5) to equal 156.25. If we write this in equation form, we would get: 3.14(156.25). Now we finally multiply pi (3.14) times 156.25 to equal 490.625 or rounded to the tenth 490.6

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Find the area of the rectangle. You can find the area of a rectangle with the following formula:

$A = wl$

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Plug in your width and length:

$20 * 10 = 200$

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The area of a square is also given by width * length. Multiply the sides together:

$2x * 2x = 4x^{2}$

The area of a square is 4x^2.

Because you're cutting away the square from the rectangle, you will subtract the area of the square from the area of the rectangle. The following equation will be your answer:

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Answer:

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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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