A circle is drawn inside a square so its circumference touches each of the four sides of the
square. If the area of the circle is 125.8cm2 calculate the length of the sides of the square.

Answers

Answer 1

Answer:

12.66 cm

Step-by-step explanation:

Area of the circle = 125.8 Sq cm

[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]

Diameter of the circle = 12.66 cm

Since, circumference of the circle touches each of the four sides of the square.

So, length of the sides of the square

= diameter of the circle.

= 12.66 cm


Related Questions

6. Draw the graph of the linear equation 3x - y = 3. Hence find the
coordinates of the point where the graph intersects y-axis.

Answers

Answer:

(0,-3)

Step-by-step explanation:

Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?

Answers

Answer:

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours

He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours

                             Wednesday - [tex]1\frac{1}{4}[/tex] hours

                             Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice =  [tex]4\frac{1}{2}[/tex] hours

⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]

⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]

⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]

⇒x - 1 = [tex]-\frac{1}{4}[/tex]

⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]

⇒x = [tex]\frac{3}{4}[/tex] hour

∴ we get

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Determine the value of the expression

Answers

This is the answer..........

Please do number 19 for me.

Answers

angles in triangle add to 180 degrees
20x=180
x=9
Angle ABC is the top one
8x9=72

Answer:

[tex]x = 9[/tex]

[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]

[tex]plzz \: \: mark \: as \: brainliest[/tex]

Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
6 5/9 feet. How much of the board was left?

Answers

B. is the answer i did the test and it was right

Johnny has a circular flower bed. Its radius is 4 feet. Johnny wants to build a fence around the flower bed. What is the total length of the fence?

Answers

Answer:

25.14 feet

Step-by-step explanation:

The length of the wire would be equal to the circumference of the circular flower bed

Formula for circumference of a circle: 2πr

= 2 x 22/7 x 4 = 25.14 feet

Answer:

25.12 ft.

Step-by-step explanation:

I took the quiz on nearpod.

I need help with this

Answers

A and C is the correct answers

For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?

Answers

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Graph a line with a y-intercept of 3 and containing the point (2, 5).

To graph a line, plot two points on the line.

Answers

Answer:

Let me know if you'd like me to clarify something. Good luck

Please help me with this

Answers

Answer:

1 h 30 minuutes

Step-by-step explanation:

[tex]1.5 \: hr = 1 \: hr + 0.5 \times 60 \: min \\ \\ = 1 \: h \: 30 \: min \\ \\ [/tex]

Answer:

1.5 Hrs x 60 minutes = 90 minutes

1 hour 30 minutes

For which value of m is start fraction 4 over 16 end frction equals start fraction m over 24 end fraction a proportion? A. m = 6 B. m = 8 C. m = 12 D. m = 14

Answers

Answer:

A. M=6

Step-by-step explanation:

Basically, this question is asking you to find m if 4/16 = m/24.

First, 4/16 can be simplified to 1/4. This will make it easier to solve.

You now have 1/4 = m/24.

Multiply both sides by 24 to get 24/4 = m.

Simplify to get m = 6.

4 divided by 2 (2/5) ???​

Answers

Answer:

as decimal = 2

as fraction = 1/2


Solve the system of linear equations by substitution.
y = -2x + 10
y = x +1

Answers

Step-by-step explanation:

y=14

y=1

thats the answer.

Solve by Substitution:
3x-2y = 4
y = -2x + 5


YALL PLZ HELP ILL DO ANYTHING

Answers

Answer:x=2

Step-by-step explanation:

3x-2(-2x+5) = 4

3x + 4x - 10 = 4

7x-10 = 4

7x = 14

x = 2

y = -2(2) + 5

y = -4 + 5

y = 1

(x,y) = (2,1)

Can somebody help me please

Answers

It will be 110 because a circle is 360, so you subtract 250 from that and you get 110

Points A, S, and R are ___.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure it's B, (please let me know if I'm wrong.)  

Colinear means to be on the same straight line, which they are.  

Coplanar means to be in the same plane, which they appear to be as well.

So yeah I'm pretty sure it's B.  

need help please will give brainliest

Answers

Answer:

y=1/5x+7

Step-by-step explanation:

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.

Answers

Answer:

The basketball game sold 439  adult tickets and  858 student tickets.

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values ​​of the unknowns, with which when replacing, they must give the solution proposed in both equations.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047  was collected on the sale of 1,291 tickets.

With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:

[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]

Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:

y=1291 -x

and you replace in the second equation:

5*x + 1291 - x= 3047

Solving, you get:

5*x-x= 3047 - 1291

4*x= 1756

x= 1756÷4

x=439

Replacing this value in the expresion y=1291 -x you get:

y=1291 -439

y= 858

The basketball game sold 439  adult tickets and  858 student tickets.

Solve the inequalities by graphing. Select the correct graph. y> X y<-X​

Answers

Answer:

i think is y>X

Step-by-step explanation:

A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?

Answers

Answer: 9 feet below the surface.

Step-by-step explanation:

The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:

Position = -40ft

Where the negative sign is because it is below the surface of the water, so

"He swam up 12 feet to see a unique fish."

Now we need to add 12ft

Then his new position is:

Position = -40ft + 12 ft = -28ft

"He followed the fish down 8 feet.

Now we need to subtract 8ft

His new position is:

Position = -28ft - 8 ft = -36 ft

"Then he followed the fish up 27 feet."

Now we add another 27 ft.

The final position will be:

Position = -36ft + 27ft = -9ft

Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.

A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case in ONE STEP, my equation Part = %*whole will be...

Answers

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

6x times (-2y)

Urgent please send solution

Answers

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Which of the following is an equation with ONE solution?

A
2x = 2x + 18

B
2x - 10 = 2(x - 5)

C
5(x + 3) + x

D
2x + 5= 11 - 4x

Answers

D is the answer. I hope this helps!

PLS HELP ILL GIVE BRAINLIEST!!

Answers

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

20. Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6)
Parallel
Perpendicular
Neither

Please help fast must be turned in in 3 hours!

Answers

Answer:

Parallel

Step-by-step explanation:

QR and ST both parallel to y axis.

The lines are parallel each other. Therefore, option A is the correct answer.

The given coordinate points are Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6).

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

After plotting the given points on the graph, we can see that the lines are parallel to each other.

The lines are parallel each other. Therefore, option A is the correct answer.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

Jeremy received a Bill with a balance due of 25.60

Answers

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

True or false this number is written in scientific notation?
.2486 x 10^12

Answers

Answer:

It Is True

It is true because scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

4x – y = 7 3y – 12x = –21

Answers

Answer:

y=4x-7   3(4x-7)-21x=-21     12x-21-12x=-21 -21=-21

Step-by-step explanation:

Step: Solve
4
x

y
=
7
for y:
4
x

y
=
7
4
x

y
+

4
x
=
7
+

4
x
(Add -4x to both sides)

y
=

4
x
+
7

y

1
=

4
x
+
7

1
(Divide both sides by -1)
y
=
4
x

7

Step: Substitute
4
x

7
for
y
in

12
x
+
3
y
=

21
:

12
x
+
3
y
=

21

12
x
+
3
(
4
x

7
)
=

21

21
=

21
(Simplify both sides of the equation)

21
+
21
=

21
+
21
(Add 21 to both sides)
0
=
0

Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent

Answers

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

Answer:

24.53

Step-by-step explanation:

HELP FOLKS PLEASE ( i don't have much time)

Answers

Tan Angle y= 7/4
Tan Angle z= 4/7

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

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