what is the area of a circle with a circumference of 12pi?

The area of the circle for the given circumference is 36π square units.

Every point in the plane of a circle, which is a closed, two-dimensional object, is evenly separated from the center. All lines that cross the circle join together to produce the line of reflection symmetry. Every angle also possesses rotational symmetry about the center.

Given circumference of circle = 12π

the circumference is given by 2πr

where r is the radius,

2πr = 12π

2r = 12

r = 6 units

and the area of a circle is πr²

A = πr² = π(6²)

A = 36π square units

Hence the area of circle is 36π square units.

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The area of the circle with circumference [tex]\( 12\pi \)[/tex] is [tex]\( \boxed{36\pi} \)[/tex] square units.

To find the area of a circle when given its circumference, we start by using the formula relating circumference ([tex]\( C \)[/tex]) and radius ([tex]\( r \)[/tex]):

[tex]\[ C = 2\pi r \][/tex]

Given that the circumference [tex]\( C \)[/tex] is [tex]\( 12\pi \)[/tex], we set up the equation:

[tex]\[ 12\pi = 2\pi r \][/tex]

Next, solve for [tex]\( r \)[/tex] by dividing both sides by [tex]\( 2\pi \)[/tex]:

[tex]\[ r = \frac{12\pi}{2\pi} \][/tex]

[tex]\[ r = 6 \][/tex]

Now that we have found the radius [tex]\( r = 6 \)[/tex], we can find the area ([tex]\( A \)[/tex]) of the circle using the formula for the area of a circle:

[tex]\[ A = \pi r^2 \][/tex]

Substitute [tex]\( r = 6 \)[/tex]:

[tex]\[ A = \pi \cdot (6)^2 \][/tex]

[tex]\[ A = \pi \cdot 36 \][/tex]

[tex]\[ A = 36\pi \][/tex]

Therefore, the area of the circle with a circumference of [tex]\( 12\pi \)[/tex] is [tex]\( \boxed{36\pi} \)[/tex].

The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5

I’m not sure this I’m so confused in algebra

Which it true about modeling a solution to an addition problem on a vertical number line?

A. When adding a negative number, you move down

B. When adding a positive number, you move down

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Please Help ASAP! Would be greatly appreciated.

The table shows the sports interests of 75 students.


Sport

Football

Basketball

Swimming

Soccer

Cross Country

Number of Students

24

19

12

15

5


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a. 0.36

c. 0.34

b. 0.27

d. 0.55

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A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
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a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10

PLEASE HELP ASAP!
A probability close to _ indicates a chance event is most likely to occur.
A. 0
B. 1
C. 5
D. 10
E. 1000

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A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number

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Part a) Classify the figure

Part b) Name the vertices, edges, and bases

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A quality control officer randomly checking weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bag, x, for the bags of pumpkin seeds?
A. 397.9 B. x < 397.9 and x > 402.1
C. x < 400.0 and x> 402.1
D. 400.0 > x < 402.1

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Use these functions to answer the questions.
f(x)=(x+3)2−1
g(x)=−2x2+8x+3
h(t)=−16t2+28t
Part A What are the x- and y-intercepts of the graph of the function f(x)? Identify the coordinates of any maxima or minima of the function. Explain your answers. Part B Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer. Part C The function h(t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time,

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First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?

1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?




a vertical translation 1 unit up

a vertical translation 1 unit down

a horizontal translation 1 unit to the right

a horizontal translation 1 unit to the left

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