A circle with radius 12 cm has a segment with a central angle of 60. What is the area of the segment?​

Answers

Answer 1

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

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Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm


Related Questions

Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

Answers

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Probability that 2 of 3 use sunscreen

From the attached data, we have:

[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]

[tex]n(S) = 10[/tex]

Events where 2 of the 3 uses sunscreen is:

[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen

[tex]n(x) = 5[/tex]

So, the required probability is:

[tex]Pr = \frac{n(x)}{n(S)}[/tex]

[tex]Pr = \frac{5}{10}[/tex]

[tex]Pr = 0.50[/tex]

Errrr I'm confused... help?

Jane and Shane are debating the answer to the equation 1/4 x = 6.

Jane says m = 1.75

Shane says m = 24

Who is correct?

Please give reasons why

Answers

Answer:

Heyaa! Im Pinky! Im here to inform you that you're answer is....

Step-by-step explanation:

!!! Shane Is correct because.... !!!

Explanation:

1. 1/4 of x is 6 becomes

2.  1/4X=6

3. X=6 / 1/4

 4. X=6/1 X 4/1

Answer: X=24

Have An Amazing Dayy!!!!

~Pinky~

Ms. Powell bought 12 cookies for $4.00 and Ms. Malley bought 8
cookies for $3.50. How much did each person pay for a cookie? And who
had the better deal?

Answers

Answer:

Ms. Powell paid around 33 cents for each cookie

Ms. Malley paid around 43 cents for each cookie

Ms. Powell had the better deal

Step-by-step explanation:

Divide the amount paid with the amount of cookies bought so 4 ÷ 12 = 0.3333... and 3.50 ÷ 0.4375...

I hope this helped!

1) Approximately ¢33 per cookie

2) Approximately ¢29 per cookie

Ms. Powell had a better deal

The minimum angle of rotation to map the given image onto itself is
A) 180°
B) 270°
C) 90°
D) 45°

Answers

Answ

90

Step-by-step explanation:

because you have add 90 for all of them

It’s 90... look at the angles,they are all right (90*)

Confused bab in need ☹️

Answers

Answer:

25 in^2

Step-by-step explanation:

So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.

With this, these numbers can both be plugged in to get the answer:

(10 * 5) / 2

50/2

25 in^2

It is squared after the units since it is the area.

your basketball team plays 5 games your team scores 10 points in first game 3 points in the second game 2 points in the third game 5 points in the fourth game and 0 points in the fifth game what was the mean number of points your team scored for all five games ?

Answers

Answer:

The mean is 4

Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZZZZZZz

ita 4 because first you add up the 10,3,2,5,0. and then it equals 20 and then divided and get the mean which is 4

Answer:

4 points

Step-by-step explanation:

is the answer

In the above figure, m∠P = 125° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the measure of angle Q?

Answers

Answer:

I had the same question and the answer is x = 11, m∠Q = 55°

The value of x is 11 and measure of <Q is 55 degree.

What are supplementary angle?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

We have,

m∠P = 125° and m∠Q = (5x)°.

and, P and Q are supplementary angles.

Using the property of Supplementary Angle

<P + <Q = 180

125 + 5x= 180

5x = 55

x= 11

Thus, the measure of <Q

= 5x

= 55 degree

Learn more about Supplementary Angle here:

https://brainly.com/question/13045673

#SPJ2

-6=2(u+3)-5u pls help me with this

Answers

Answer:

u=3

Step-by-step explanation:

-6=2u+3-5u

-6=-3u+3

3u=6+3

3u=9

u=3

Help plz !!!!!!!!!!!!!!

Answers

I think is C is the first one. B for the second. C for the third. and C again. I hope these are right! have a good day!

whats the value of 2 [ 2(14+1) ] - 6

Answers

Answer:54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

2[2(15)]-6 =

2[30]-6 =

60-6 = 54

Perform the indicated operation.‼️‼️

Answers

Śïbil jetilß Juilliard ismala

Answer:

[tex]\frac{n-3}{2n+5}[/tex]

Step-by-step explanation:

Evaluate cos 17x/6

ill give brainlist

Answers

The value of cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.

First, let's determine the reference angle.

The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.

The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.

To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:

17π/6 - 12π/6 = 5π/6

Now, we can evaluate the cosine of the reference angle (5π/6).

In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).

The cosine value is represented by the x-coordinate of this point.

For the reference angle 5π/6, the x-coordinate is -√3/2.

Therefore, cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

For similar question on trigonometric functions.

https://brainly.com/question/6904750

#SPJ11

Question: How do you evaluate

cos

(17π/6)

NO LINKS FIRST ANSWER= BRAINLIEST
Which situation involves a conditional probability? O A. The probability that you roll a 6 on a number cube B. The probability that you make two free throws in basketball C. The probability that you make a second free throw given that you made the first free throw O D. The probability that you are given a book for your birthday ​

Answers

Answer:

c

Step-by-step explanation:

its conditional because you might not make the first free throw.

The situation that involves a conditional probability is the probability that you make a second free throw given that you made the first free throw.

Thus, option (C) is correct.

Conditional probability refers to the probability of an event occurring given that another event has already occurred.

In this case, the probability of making a second free throw is dependent on the condition that you made the first free throw.

Therefore, the probability that you make a second free throw given that you made the first free throw.

Learn more about Probability here:

https://brainly.com/question/32117953

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Solve for x:

Plzzzzzzzzzz

Answers

Answer:

1: x=18   2: x=7   3: x=12

Step-by-step explanation:

1:  7x+3=9x-33

    2x=36

     x=18

2:  16x+(6x=26)=180

     22x=154

      x=7

3:  (10x-17)-(2x-3)=90

     8x-14=104

      x=12

Answer and Step-by-step explanation:

1.

7x + 3 = 9x - 33

Subtract 7x from both sides, and add 33 to both sides of the equation.

36 = 2x

Divide both sides by 2.

x = 18

2.

6x + 26 + 16x = 180

Combine like terms.

22x + 26 = 180

Subtract 26 from both sides of the equation.

22x = 154

Divide 22 from both sides of the equation.

x = 7

3.

90 + 2x - 3 = 10x - 17

Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.

104 = 8x

Divide 8 from both sides of the equation.

x = 13

#teamtrees #PAW (Plant And Water)

Pre calculus
Will every function have a hole? Why or why not?

Answers

Answer:

No, not every function will have a hole. This is considered a special case.          A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.

which three triangles are similar

Answers

Answer:

We need an image.

Find mZEGD


helppppppppppp pleaseeee :))

Answers

Answer:

30

Step-by-step explanation:

I believe it would be 30 degrees because it is opposite of mAGB.

What is the mode interval for the set of data?



80 - 89
70 - 79
90 - 99
60 - 69

Answers

Answer:

80-89

Hope this helps

Answer:

A

Step-by-step explanation:

HELPPPP PLSSSSSS AHHHH

Answers

Answer:

the Anwers D

Step-by-step explanation:

Answer:

I would say D

Step-by-step explanation:

If it isn't D try A

Carlos is NOT correct because

Answers

Answer:

Carlos should do his own work

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

Q19. Look at the image.

Answers

Answer:

It's C

Step-by-step explanation:

Because if you look at the other numbers they all add up to the next number by 4. 4+4=8  8+4=12  12+4=16  16+4=20  20+4=24

Therefore, x intercept is 24 and y intercept is 18. Hope this is correct if it's not  correct then I'm very sorry. Have a nice day. ;)

helpppppp pleaseeeee

Answers

Answer:

length is 17

width is 14

Step-by-step explanation:

Write an equation to the model above
BEST ANSWER GET BRANLIEST

Answers

Answer:

0 ≤ x ≤ 2 (i assumed that the arrows included 0 and 2).

Step-by-step explanation:

One arrow shows 0 and greater (as it is pointing right) and the other shows 2 and smaller (as it is pointing left). The arrow pointing right has the equation of:

x ≥ 0 (where x is a random number)

The arrow pointing left has the equation of:

x ≤ 2 (where x is a random number)

Assuming that you need to find an equation so that x fits both inequalities, we combine them into one inequality and get:

0 ≤ x ≤ 2

Find the value of x in the isosceles triangle shown below

Answers

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Someone please help with this question I need an answer no longer than 5 minutes

NO LINKS

Answers

Answer:

radius: 8.4   Area: 221.5

Step-by-step explanation:

16.8 divided by 2 = 8.4

The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14

8.4₂ multiplied by 3.14

Which sequences are converging? Check all that apply.
an
n4
10n3
n2-2n
an
2n2
an
=
25 - 4n3
2n2-n.
n2 +5n+6
an
n +3
m2-n +6
n3 – 3n²

Answers

Answer:

B & E

Step-by-step explanation:

Edge trust me

Is the point (3, −5) within the shaded region?
The answer must be true or false

Answers

Answer:

its false

Step-by-step explanation:

Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in

Answers

Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

375

Length x width x height

At local bakery Jonah decorated 3 cakes at a time. Ellen decorated 7 at a time. If they ended up decorating the same number of cakes by the end of the day, what is the smallest number of cakes that each must have decorated?​

Answers

I honestly don’t know I’m sorry
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