explain how the diagram can help find the area of a circle

Explain How The Diagram Can Help Find The Area Of A Circle

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a really famous diagram!  The circle has been divided into many wedges (think slices of pizza!).  The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them.  See how the bottom and top edges of the rectangle look bumpy?

The area of the "rectangle" is approximately [tex]\pi r^2[/tex] .  The reason is that the height of the rectangle is  r , the radius of the circle.  And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle.  It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.

The approximation improves as the number of wedges increases.  In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference.  In other words, making more wedges makes the rectangle less bumpy!


Related Questions

An expression is shown.

​ 6 n

​What is the value of the expression when n=7?

Answers

Answer:

42

Explanation:

replace n by 7 since they are equal and therefore the same thing

so 6*7=42

Starting point (1, 4) Show me the new coordinates of the point (1, 4) after it is:
Reflected over the line y = x.
Reflected over the line y = −x.
Rotated through 90°clockwise about the origin.
Rotated through 90°counterclockwise about the origin

Answers

Step-by-step explanation:

Reflected over the line y=x is (4,1)

Reflected over the line y=-x is (-4,-1)

Rotated through 90 clockwise about the origin is (4,-1)

Rotated through 90 counterclockwise about the origin is(-4,1)

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

80

Step-by-step explanation:

sorry if wrong

80 degree angle






STEP-BY STEP EXPLINATION:

100 degrees is like a triangle or a square so o belive its 80 degrees

A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50, where m represents the number of miles traveled.

Which statement shows the meaning of the driver’s equation? Select two options.
Three dollars added to $0.50 is the same as $9.50.
Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
Three dollars more than the quotient of $0.50 and the number of miles is nine dollars and fifty cents.
The product of the number of miles and the sum of $3 and $0.50 is equal to $9.50.
The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Answers

the last option i believe. sorry if it's wrong

Answer:

It’s B and E

Step-by-step explanation:

Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

help me plsssssssss asap​

Answers

Answer:

B

Step-by-step explanation:

All you have to do is count, and you'll see 5 faces, 6 vertices, and 9 edges

its easy to do.

The answer would be B.

what is 23456776543211234654345676543456765434567654.5096875849 divided by 234.5678765424587654357876543 divided by 9999?

Answers

Answer:

1.0000995e+37

Step-by-step explanation:

Answer: Haha i'm so sorry but i don't know.

Step-by-step explanation: Have a great day!

Please help









❤️❤️❤️❤️❤️❤️❤️❤️
Thanks besties

Answers

Answer:

62.33 degrees Fahrenheit.

Anytime bestie <3

Q: Find six rational numbers between 3 and 4 .​

Answers

Answer:

Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.

Answer:

six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277

Please help me
10 + 963 = ?

Answers

Answer:

hi

Step-by-step explanation:

10+963=973

have a nice day

Answer:

10+963= 973

Step-by-step explanation:

Answer 973

i hope this help

The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?

Answers

I’m pretty sure it’s d but I’m not sure

Which expression represents the distance between the two numbers on the
number line?
a. -1 + 2.5
b. -1 -2.5
c. 12.5 - (-1)
d. 12.5 -11

Answers

Answer:

B.

Step-by-step explanation:

........................

Tyson has two movie tickets and wants to randomly select one of six friends to go with him. He rolls a six-sided die to make his decision. He tested this model 60 times and recorded the results in this table.

Result of Roll Times Result Occurred
1 - 11
1 - 0.18
2 - 9
2 - 0.15
3 - 9
3 - 0.15
4 - 10
4 - 0.17
5 - 11
5 - 0.18
6 - 10
6 - 0.17
Do you think the relative frequency from the experiment is a good predictor of the theoretical probability? Why or why not?

Answers

Answer:

The relative frequency of rolling a particular number can be calculated using the formula

relative frequency , where f is the actual frequency of an event and n is the number of times the experiment is performed. This experiment had the following results:

The relative frequency of rolling a 1 is 0.2.

The relative frequency of rolling a 2 is about 0.23.

The relative frequency of rolling a 3 is about 0.13.

The relative frequency of rolling a 4 is 0.15.

The relative frequency of rolling a 5 is 0.15.

The relative frequency of rolling a 6 is about 0.13.

The relative frequencies of rolling 1, 2, 3, 4, 5, and 6 are quite similar. So, the relative frequency is a good predictor of the theoretical probability.

Step-by-step explanation:

this is exact answer from edmentum so change it up a bit

Solve for x: wx-x=d

PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answers

Answer:

wx-x=d

wx = d + x

x = d/w + x/w

Step-by-step explanation:

Answer:

x = d/(w-1)

Step-by-step explanation:

factor out 'x' as first step:

x(w - 1) = d

now divide by w-1:

x = d/(w-1)

Can somebody please help me with this question?

Answers

To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)

(5-2) · 180 = 3 · 180 = 540.

Now, all we have to do is add up all of the angles:

75 + 126 + 126 + 81 + c = 540

c = 132

How many people ordered beer?

*it is not 15

Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Zoe is calculating the volume of this rectangular prism.

Zoe calculates the volume as 16 cubic units because 8 units long + 5 units high + 3 units wide = 16 cubic units.  Which of the following describes the mistake Zoe made in her calculation?

Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 × 5 + 3 = 43.
Zoe is wrong because she added all the dimensions instead of only adding the length and width.
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 + 5 – 3 = 10.
Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions.

Answers

It’s the last one :)

everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?​

Answers

Answer:

Jesse eats lunch at 11:45 a.m.

Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
I will ONLY give you a brainliest of you answer this questions CORRECTLY!

Answers

Answer:

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

Step-by-step explanation:

Surface area of a cylinder = 2πrh+2πr² = 2π(rh+r²)

Cylinder A = 2π(rh+r²)

Cylinder B = 2π((2r)(2h)+(2r)²) = 2π(4rh+4r²)=2π(4(rh+r²))

To find how many times greater Cylinder B's surface area is than Cylinder A's surface area, divide:

[tex]\frac{Cylinder B}{Cylinder A}[/tex]

=2π(4(rh+r²))/2π(rh+r²)

(divide top and bottom by 2π)

=4(rh+r²)/(rh+r²)

(divide top and bottom by (rh+r²))

=4

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

,........................................................................................l

Answers

No ...................,,,,,,,,..........

The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?

Answers

(x + 4) (x + 2)
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)

Help me with this pls

Answers

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

help me with this please and if you can do a step by step it would help​

Answers

Answer:

Angle 6x and Angle 5x + 10 are corresponding angle pair,

they are equal

6x = 5x + 106x - 5x = 10x = 10

so each angle = 6 × 10 = 60°

Answer right and you get brainliest

What is the area

Answers

I believe 150 in
Area of triangle= 1/2 b x h
12 x 25=300/2 =150

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?

Answers

How I usually find % is in the calculator I put the number im trying to find the percent of so in this case 171,000 and I multiply that by .4 in the calculator so I would put in 171,000*.4 and get 68,400 but that’s not the answer because you have to get rid of the last number so 4% of 171,000 is 6,840 then you subtract that from 171,000 and that’s your answer I got 164,160 I hope this helps :)

C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)

Answers

Answer:

I don't know how to do it the subject

PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!

Answers

I got it hold up I will use my app

Answer:

5m + 9n + 46

Step-by-step explanation:

5m +10 +9n +36

(i did that by distributing from parenthesis)

5m + 9n + 46

(i just simplified by adding 10 and 36)

NEED HELP ASAP FREE BRAINLIST

Answers

9514 1404 393

Answer:

113.04, 4, 452.1678.5, 11, 863.5153.86, 10, 1538.6

Step-by-step explanation:

When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:

  B = πr² = 3.14×r²

In the second figure, the radius is half the diameter, so is 5 units.

The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.

  V = 113.04 · 4

  V = 452.16 units³ . . . showing how the numbers are used in the first figure

The perimeter of a rectangle is 56mm. Three of the sides have a length of 15mm, 13mm, and 15mm. What is the side length?

Answers

Answer and working out attached below. Hope it helps

PLEASE HELP ASAP PLZZ I WILL GIVE BRAINLIEST In order to increase the circumference of a circle from 12pi cm to 18pi cm, by how much must the diameter increase?​

Answers

Answer:

This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.

Step-by-step explanation:

brinliest pls

Answer:

6

Step-by-step explanation:

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