A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters.What is the area A of the cross section of the column?
Give your answer in terms of pi.

Answers

Answer 1
Answer:

Answer:

A=81\pi\ m^(2)

Step-by-step explanation:

Step 1

Find the radius of the circular cross section

we know that

The circumference is equal to

C=2\pi r

we have

C=18\pi\ m

substitute and solve for r

18\pi=2\pi r

simplify

18=2 r

r=9\ m

Step 2

Find the area of the circular cross section

The area of the circle is equal to

A=\pi r^(2)

we have

r=9\ m

substitute

A=\pi (9)^(2)

A=81\pi\ m^(2)


Related Questions

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:f(n) = 9(0.7)n What does the number 0.7 represent? The ball bounces to 30% of its previous height with each bounce. The height at which the ball bounces at the nth bounce is 0.3 feet. The ball bounces to 70% of its previous height with each bounce. The height from which the ball was dropped at the nth bounce is 0.7 feet.
(12y2+17y-4)+9y2-13y+3)
What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?mm2
Twice a number increased by 5?? in algebraic expression
Three consecutive intergers have a sum of 234. What are the three intergers

Factorise 15x + 35y - 40 z

Answers

For this case we have the following expression.

We must find a term of expression that is repeated in all terms.

We then have the number 5.

By doing common factor 5 in all the expression we have:

Answer:

The factored expression is given by:

5 (3x + 7y - 8z)

15x + 35y - 40 z = 5 (3x + 7y -8z)

hope that helps
............................

Juan has scores of 85, 83, and 93 on three math​tests. What is Juan’s average test score on these
​math tests?
​​

Answers

Final answer:

To calculate Juan's average math test score, add all the scores together (85, 83, and 93) and then divide by the total number of tests, which is 3. The average score is 87.

Explanation:

The question given is a mathematics problem related to calculating an average. In particular, it is about finding the average test score of Juan's math tests. To find the average of a set of numbers, you add up all the numbers and then divide by the quantity of numbers. In this case, we add the test scores 85, 83, and 93 which gives us a total of 261. Since there are 3 tests, we divide this total by 3. So, Juan's average test score is 261 divided by 3, which equals 87.

Learn more about average here:

brainly.com/question/27193544

#SPJ12

Answer:

80.5

Step-by-step explanation:

to find average you need to first added all your number then divide by how much numbers you added

How do I find the missing side length?

Answers

adjacent side to angle 60º=2/3
opposite side to angle 60º=b
hypotenuse=a

cos 60º= adjacent side / hypotenuse
cos 60º=(2/3) /  a
a=(2/3) / cos 60º=(2/3) / (1/2)=4/3

tan 60º= opposite side / adjacent side
tan 60º=b / (2/3)
b=(2/3)*tan 60º=(2/3)* √3=2√3 /3

Answer:
a=4/3
b=2√3 /3

subtract the to sides

Which of the following options is a better purchase for a bicycle? Option 1: A cash sale for $88 Option 2: $5 down with equal payments of $8 for 10 weeks
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months

(A.) Option 3
B. Option 1
C. Option 2
D. Option 4

Answers

Answer:

Option 3

Explanation:

To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:

i- Option 1:

Total cost = $88

ii- Option 2:

$5 down payment and $8 per week for 10 weeks

Total cost = 5 + 8(10) = 5 + 80 = $85

iii- Option 3:

$12 down payment and $5 per month for 12 months

Total cost = 12 + 5(12) = 12 + 60 = $72

iv- Option 4:

$20 down payment and $20 per month for 12 months

Total cost = 20 + 20(12) = 20 + 240 = $260

Now, from the above calculations, we can conclude that:

The best price would be that of option 3 ($72). It is the lowest price compared to other option.

Hope this helps :)

Answer:

The answer is option 3

Step-by-step explanation:

The area of the parallelogram is 96 square miles. Find its base and height.

Answers


You can't. There are an infinite number of different parallelograms,
with different dimensions, that all have area of 96 square miles.

Knowing the area doesn't tell you the dimensions.

Here are a few parallelograms with areas of 96 square miles:

-- square, every side  4√6  miles long

-- rectangle, 12 miles long, 8 miles wide

-- parallelogram, base=32 miles,    height=3 miles

There are an infinite number of others.


Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

Answers

f(x) = 3x^2 : axis of symmetry is x = 0.
g(x) = x^2 - 4x + 5 = (x - 2)^2 + 1 : axis of symmetry is x = 2
h(x) = -2x^2 + 4x + 1 = -2(x - 1)^2 + 3 : axis of symmetry is x = 1

Therefore, based on their axis of symmetry, f(x) < h(x) < g(x)