A wire bent in the form of a semi circle encloses an area of 7700cm2. If the same wire is bent into a square, calculate the area enclosed by the square

please hurry and answer fast..thank uuu so much

Answers

Answer 1

Answer: 8100 cm2

Step-by-step explanation:

First find radius

Area of semi circle = Pi*r2 / 2

7700 = 22/7 * r2/2

r2 = 7700 * 7 * 2 / 22

r2 = 700 * 7

r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)

r = 7 x 10

r = 70 cm

Perimeter = r(Pi + 2)

= 70 ( 22/7 + 14/7)

= 70 * 36/7

= 360 cm

Let us take side of square as “x”

4x = 360

x = 360 / 4

x = 90

Area of square = side * side

= 90 * 90

= 8100 cm2

Answer 2

A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.

The area of the enclosed square wire is 3025 square meters

The given parameters are:

[tex]\mathbf{Area= 7700cm^2}[/tex]

The area of a semicircle is

[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]

Substitute 7700 for Area

[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]

Express pi as 22/7

[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]

Divide through by 22

[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]

Multiply both sides by 14

[tex]\mathbf{r^2 = 4900}[/tex]

Take square roots of both sides

[tex]\mathbf{r = 70}[/tex]

Next, calculate the circumference of the semicircle

[tex]\mathbf{C = \pi r}[/tex]

So, we have:

[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]

[tex]\mathbf{C = 220}[/tex]

This means that the length of the wire is 220 meters.

This also represents the perimeter of the square.

The perimeter of the square is calculated using:

[tex]\mathbf{P = 4L}[/tex]

Where L represents the side length

So, we have:

[tex]\mathbf{4L = 220}[/tex]

Divide both sides by 4

[tex]\mathbf{L = 55}[/tex]

The area of the enclosed square is then calculated using:

[tex]\mathbf{Area = L^2}[/tex]

So, we have:

[tex]\mathbf{Area = 55^2}[/tex]

Evaluate the square

[tex]\mathbf{Area = 3025}[/tex]

Hence, the area of the enclosed square wire is 3025 square meters

Read more about areas at:

https://brainly.com/question/17091819


Related Questions

Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm

Answers

Answer:

43.5 cm

Step-by-step explanation:

The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.

45/15 = 3

14.5 * 3 = 43.5 cm

Answer:

43.5

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

Answers

Answer:

30° and 60°

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

----------------------

check

90 + 30 + 60 = 180°

the answer is good

Does the following relationship represent a function?

Answers

yes that is a function

If it has any repeating x values it isn’t one

Find the value of x for which m ll n

Answers

Answer:

x=54

Step-by-step explanation:

2x+13=3x-41

   -13       -13

__________

2x=3x-54

-3x  -3x

__________

-1x=-54

__   __

-1      -1

X=54

I Hope this helped <3

Answer:

x = 54

Step-by-step explanation:

If m||n, these two angles will be equal in degrees

3x - 41 = 2x + 13

3x - 2x = 13 + 41

x = 54

Help please important if you help you get brain lay

Answers

[1] 1/2

    - It will be 1/2 as large because of the scale factor

[2] 1/4

    - 1/2 * 1/2 = 1/4

[3] (1/2)n

    - For every scale factor (n), there will be a chance of 1/2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

how many three-digit positive integers have exactly two digits that are the same?

Answers

there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:

Step-by-step explanation:

-3/-4 in simplest form

Answers

3/4

a double negative equals a positive

Answer:

3/4 is your answer

Step-by-step explanation:

Solve the pair of equation
2x – y=9
4x^2 + 3y^2– 2x + y = 16​

Answers

Answer:

[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]

[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]

Step-by-step explanation:

1) Solve for 2x - y = 9

A. Solve for y.

2x - y = 9

B. Subtract 2x from both sides.

-y = 9 - 2x

C. Multiply both sides by -1.

y = -9 + 2x

D. Regroup terms.

y = 2x - 9

2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16

A. Start with the original equation.

4x² + 3y² - 2x + y = 16

B. Let y = 2x - 9.

4x² + 3(2x - 9)² - 2x + 2x - 9 = 16

C. Simplify.

16x² - 108x + 234 = 16

3) Solve for x in 16x² - 108x + 234 = 16

A. Solve for x.

16x² - 108x + 234 -= 16

B. Move all terms to one side.

16x² - 108x + 234 - 16 = 0

C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218

16 x² - 108x + 218 = 0

D. Use the Quadratic Formula.

[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]

E. Simplify solutions.

[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]

4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.

1) Start with the original equation.

y = 2x - 9

2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]

[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]

3) Simplify

[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]

Help me please!! it's due today​

Answers

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

I need help finding this answer

Answers

y = -2x - 4

--> Swap sides so that all variable terms are on the left hand side

-2x - 4 = y

--> Add 4 to both sides

-2x = y + 4

--> Divide both sides by -2

-2x/-2 = y+4/-2

--> Dividing by -2 undoes the multiplication by -2.

x = y+4/-2

--> Divide y+4 by -2

x = -y /2 -2

-------------------------------------------------------------

y = 1/4x + 5

--> Swap sides so that all variable terms are on the left hand side.

1/4x + 5 = y

--> Subtract 5 from both sides.

1/4x = y - 5

--> Multiply both sides by 4.

1/4x 1/4 = y - 5/ 1/4

--> Dividing by 1/4 undoes the multiplication by 1/4.

x = y - 5/ 1/4

--> Divide y - 5 by 1/4 by multiplying y - 5 by the reciprocal of 1/4.

x = 4y - 20

Hope this helps you!

Make x the subject of the formula 3 ( c − b x ) = 18

Answers

Answer:

- 6-c/b

Step-by-step explanation:

3 ( c − b x ) = 18

=> c - bx = 18/3

=> -bx = 6 - c

∴ x = - 6-c/b

Hopefully this helps!!

The given formula written in the form of x as the subject is obtained as  x = (c - 6)/b.

What is a Linear equation?

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given formula is  3(c − bx) = 18.

It is in the form of a linear equation.

It can be rewritten as follows,

3(c − bx) = 18

⇒ c − bx = 18/3

⇒ bx = c - 6

⇒ x = (c - 6)/b

Which implies the formula written as x as the subject.

Hence, the required form of the given formula is  x = (c - 6)/b.

To know more about Linear equation click on,

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Is 10x-4 proportional

Answers

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

which type of image format is constructed using proportional formulas rather than pixels?

Answers

Answer:

vector.

Step-by-step explanation:

What is the idea of factoring by grouping?

Answers

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

When factoring by grouping also called castor

Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds (£)to spend in England. Workout how many pounds he receives.

$1 = 0.88 euros
1 pound = 1.15 euros

Answers

It’s 4.57 hope this helps!!

Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?

Answers

Answer:

it would be y=|x+6|


Which of the following functions is graphed below?

Answers

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

What id the value of x?

Answers

Answer:

x=43.25

Step-by-step explanation:

this is a isosceles triangle so the other angle is also x

2x+93.5=180

2x=86.5

x=43.25

Find the positive integer of a two digit number such that the difference between the tens digit and the unit digit is 2. If the digits are reversed, the sum of the integer and its reverse is equal to 132.

Answers

Answer: The answer is A.

Step-by-step explanation: (10b + a) = 27 --- 9a - 9b = 27 --- a - b = 3.

Can someone help me with this question? I've been stuck on it for a while :(

Answers

Answer:

  f(x) = x³ -4x² -5x +20

Step-by-step explanation:

If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...

  f(x) = (x -4)(x +√5)(x -√5)

  = (x -4)(x² -5)

  f(x) = x³ -4x² -5x +20

Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?

Answers

Answer:

19

Step-by-step explanation:

3 boards that are 12 feet long = 38÷2=19

Which expression tells how much greater the temperature change was on Friday than on Saturday?

Answers

Option B

Temperature change on Friday=81-72Temperature change on Saturday=76-69

Total difference

[tex]\\ \rm\Rrightarrow (81-72)-(76-69)[/tex]

The correct expression is (81 - 72) - (76 - 69).

Option 2 is correct.

What is Arithmetic?

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

The high and low temperature for Friday and Saturday is given in the table.

Temperature change = High Temperature - Low Temperature

To find the expression which tells how much greater the temperature change was on Friday than on Saturday:

= Temperature change on Friday - Temperature change on Saturday

= (81 - 72) - (76 - 69)

Hence, the correct expression is (81 - 72) - (76 - 69)

To learn more about arithmetic, click:

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Joshua gave away 1/3 of his marbles to Kale.If Kale got 25 marbles,how many marbles did Joshua have at first?​

Answers

Answer:

75

Step-by-step explanation:

joshua - x

kale - 1/3x

1/3x = 25

x = 25(3)

x = 75

help please how u do dis​

Answers

Answer:

WR = 16

Step-by-step explanation:

The centroid M is the point where the 3 medians intersect

The median is a segment that goes from one of the triangle's vertices to the midpoint of the opposite side.

WY is a median of the triangle , then

WY = YR = 8

WR = wy + yr = 8 + 8 = 16

what equation represents the line that passes through the points (3, -2) and (-1, 10)​

Answers

Answer:

y=-3x-9

Step-by-step explanation:

Let's find the slope of the line

m=-2-10/3--1

m=-12/4=-3

The equation is given as

y-y1=m(x-x1)

y--2=-3(x-3)

y+2=-3x+9-2

y=-3x-7-2

y=-3x-9

Y=-3x-9…,,,,,,,,…………………

Write the following phrase as an algebraic expression. Use k for the unknown.

"The product of 20 and a number"

Answers

Answer: 20k

Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.

theres the picture i dont know how to write it out.​

Answers

Answer:

x > -2

Step-by-step explanation:

As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.

Hope this helps!!

a) Dos números enteros positivos se diferencian en 6 unidades y la suma de sus cuadrados
es 260. ¿Cuáles son esos números?

Answers

Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.

Veremos que los dos números son 8 y 14.

Primero, podemos definir esos números como A y B.

Entonces tenemos que:

A - B = 6

A^2 + B^2 = 260

Esto es un sistema de ecuaciones.

Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.

A - B = 6

A = 6 + B

Ahora reemplazamos esto en la otra ecuación.

A^2 + B^2 = 260

(6 + B)^2 + B^2 = 260

36 + 12*B + B^2 + B^2 = 260

36 + 12*B + 2*B^2 = 260

Ahora podemos resolver esto para B:

2*B^2 + 12*B + 36 - 260 = 0

2*B^2 + 12*B - 224

Las soluciones estan dadas por la formula de Bhaskara:

[tex]B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)[/tex]

Entonces las dos soluciones son:

B = -3 + 11 = 8

B = -3 - 11 = -14

Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:

B = 8.

Con esto podemos calcular el valor de A como:

A - B = 6

A = 6 + B = 6 + 8 = 14

Entonces los dos números son:

8 y 14.

Si deseas aprender más, puedes leer:

https://brainly.com/question/24761554

Can u please help me with this. I’ll make brainliest

Answers

Answer:

number

Step-by-step explanation:

number than number lol sorry i dont know i wish i could help you

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