Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct. Hint: Use the pythagorean theorem.

Answers

Answer 1

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].

Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]

                                                                         = [tex]$(r\sqrt 2)^2$[/tex]

                                                                         [tex]$= 2 r^2$[/tex]

                                                                         [tex]$= 2 (1)^2$[/tex]

                                                                         [tex]$=2 \ cm^2$[/tex]

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.


Related Questions

PLZZZZ PLZZZ I HAVE 9 MINUTES LEFT PLZZZ ANSWER THIS PLZZZ IM BEGGING PLZZZ NO SCAMS NO NUN PLZZZ JUST ANSWER

Answers

Answer:

AC=19

AB=8.5

<BAD=65

<ABC=115

<BAE=35

Bernadette has recently opened her own soup store. It costs her $360 a month plus $2.50 for each bowl of soup she makes. Bernadette charges $5.50 for each bowl of soup. What's the minimum number of bowls Bernadette would need to sell to make a profit each month? Explain.

Answers

Answer: I don't know if it is multiplication or addition but here are the answers.

Step-by-step explanation:  

$360 * $2.50 * $5.50= 4950

$360 + $ 2.50 + $5.50=368

6. Rewrite each of the following expressions without roots by using fractional exponents.

Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!

Answers

Answer:

A. x¹/²

B. x¹/³

C. x¹/⁷

D. x⁵/²

E. x¹¹/³

F. 1 / x¹/⁴

G. 1 / x²/³

H. 1 / x⁹/²

Step-by-step explanation:

A. √x

Recall

√M = M¹/²

Therefore,

√x = x¹/²

B. ³√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

³√x = x¹/³

C. ⁷√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

⁷√x = x¹/⁷

D. √x⁵

Recall

√Mⁿ = Mⁿ/²

Therefore,

√x⁵ = x⁵/²

E. ³√x¹¹

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

³√x¹¹ = x¹¹/³

F. 1 / ⁴√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

1 / ⁴√x = 1 / x¹/⁴

G. 1 / ³√x²

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

1 / ³√x² = 1 / x²/³

H. 1 / √x⁹

Recall

√Mⁿ = Mⁿ/²

Therefore,

1 / √x⁹ = 1 / x⁹/²

pls help me with this!

show this standard form equation in a graph

5x+y=-2​

Answers

Answer:

Step-by-step explanation:

One way to do this is to find the x- and y-intercepts and to plot these:

x-intercept:  Let y = 0:  5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0).  Plot this point.

y -intercept:  Let x = 0:  y = -2, so the y-intercept is (0, -2).  Plot this point.

Finally, draw a line through these two points.

also need help with this one!!

Answers

-1.55555555555555555555555555555555555555

Alfredo tiene 36 cromos más que Iván, y si comprará 10 más , tendría el triple . ¿Cuantos cromos tiene cada uno?

Answers

Respuesta:

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Explicación paso a paso:

Dejar :

Pegatinas de Alfred = a

Pegatinas de Ivan = b

a = b + 36 - - - (1)

a + 10 = 3b- - - (11)

De 1)

a = b + 36

Ponga a = b + 36 en (11)

b + 36 + 10 = 3b

b + 46 = 3b

46 = 3b - b

46 = 2b

b = 23

a = b + 36

a = 23 + 36

a = 59

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

find the midpoint of the given points
(-8,4),(3,-4)

Answers

Answer:(-2.5,0)

Step-by-step explanation:

MP=(-8+3/2,4+(-4))=(-2.5,0)

what is the input of arccos

Answers

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

This table shows how many male and female students attended two different

movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479

Answers

Answer:

the correct answer is

229/479 = 0.48

The probability that a randomly chosen person from this group is male is 0.48.

What is the probability that a male is chosen?

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of choosing a male = number of males / total number of males and females

229/479 = 0.48

To learn more about frequency tables, please check: https://brainly.com/question/26577861

john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month

a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode

Answers

There is not enough information to give an answer you do not inform us of how much money needs to be put into this pension fund. That information is needed to solve.

Complete the equations by entering the whole numbers that are equal to the fractions.

8
8
=
3
3
=


30
10
=
9
3
=


6
3
=
12
6
=

Answers

Answer:

Not sure if these are the fractions, tell me if they are wrong.

8/8 = 1

3/3 = 1

30/10 = 3

9/3 = 3

What is the length of side a? Round to the nearest tenth of an inch

Answers

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer: 36
Explanation: ^^^

James ran a race in 2.2 hours. Casey ran the same race in 2.25 hours. Who took less time to run the race?

Answers

Answer: James

Step-by-step explanation: 2.2 is less than 2.25.

what’s the answer?
Hehdbdjnedhbddh

Answers

Don’t do the link it’s a virus

An arithmetic sequence has a first term of 0 and the 9th term of 12. If 27 is an output of the sequence, which term number is it? Show all steps of calculations and explain in a sentence at the end how you know you have the correct term number.

Giving 100 points to first correct answer

Answers

Answer:

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]

Azul used a number cube with the numbers 1-6 in a simulation. He assigned 1-4 as the favorable outcome and 5-6 as the unfavorable outcome. What situation could this represent.

Answers

Answer:b

Step-by-step explanation:

Answer:

the answer is the top right if confused then it's the one with the fraction 2/3

Step-by-step explanation:

i got it right on i ready quiz.

PLEASE PLEASE HELP WITH THIS

Answers

Answer:

θ = 76°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°, then

sin14° = cos(90 - 14)° = cos76°

That is θ = 76°

Answer:

in radians o= 0.13716675

Step-by-step explanation:

cos(0)=0.9906074

O= arccos(0.9906074)

O=0.13716675

Solve for m angleUVW if m angle UVX = 40° and m angle XVW = 68°

Answers

Answer:

The measure of the obtuse angle marked UVW is 108

Step-by-step explanation:

Here, we want to get the measure of the angle marked UVW

To get this, we refer to the given diagram

From the diagram;

UVW = UVX + XVW

UVW = 68 + 40

UVW = 108 degrees

Una fabrica produce caravanas las envasa en bolsitas de un par cada dos bolsitas usa una cajita azul cada do cajitas azules usa una naranja cada dos cajas naranjas usa una verde si fabrica 500 caravanas cuantas bolsitas cuantas cajitas azuñes cuantas cajas naranjas y cuantas cajas verdes usa

Answers

Answer:

Se utilizan 31 cajas verdes y 62 cajas naranjas, 125 cajas azules y 250 bolsas

Step-by-step explanation:

La pregunta es un problema verbal

Los parámetros dados son;

El número de caravanas por bolsa = 2 caravanas

El número de bolsas en una caja azul = 2 bolsas

El número de cajas azules en una caja naranja = 2 cajas azules

El número de cajas naranjas en una caja verde = 2 cajas naranjas

Por lo tanto;

El número de caravanas en una caja azul = 2 bolsas = 2 pares = 4 caravanas

El número de caravanas en una caja naranja = 2 × 4 caravanas = 8 caravanas

El número de caravanas en una caja verde = 2 × 8 caravanas = 16 caravanas

Por tanto, si la fábrica fabrica 500 caravanas, tenemos;

El número de casillas verdes utilizadas = 500/16 = 31,25 = 31 casillas verdes

El número de cajas naranjas utilizadas = 500/8 = 62 cajas naranjas

El número de cajas azules utilizadas = 500/4 = 125 cajas azules

El número de bolsas utilizadas = 500/2 = 250 bolsas

I need this done by tomorrow 4.

Answers

Is it too late now?? Btw it is C

Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number
of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours
Mr. Roy could be
scheduled to work this week? Select all that apply.
A 2+7 > 18
B 2 + 7 < 18
C 2 +18 > 7
DI > 11
EI < 11

Answers

Answer:

x + 7 > 18

Step-by-step explanation:

Answer:

The answer should be B

Step-by-step explanation:

Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.

(28 divided 7 + 6 divided 3) x 1/2

Answers

Answer:

3

Step-by-step explanation:

28/7=4

6/3=2

4+2=6

6*1/2=3

Paraenthies

Exponets

Mulitplication

Divide

Add

Subtract

PLEASEEE HELP I JUST NEED TO KNOW WHICH ONES ARE TRUE AND FALSE

Answers

Answer:

Step-by-step explanation:

1-true

2-false

3-true

4-false

All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?​

Answers

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

SOMEONE HELP ME NOW PLEASE NO LINKY LINKS

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST

Answers

Answer:

median

Step-by-step explanation:

There are 15 numbers so we have to find the median that is in the center.

median = 9

It’s the median oval

Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo

Answers

Answer:

In my opinion No

Step-by-step explanation:

You are only given "X" SO what is "Y"?

What theorem shows ACE = BCD

Answers

Answer:

SAS

Step-by-step explanation:

in two triangles

if EC=DC

AC =BC

M<ECA =M<DCB "V.O.A"

THEN triangle ACE = triangle BCD

While teaching at the University of Pisa in 1589, Galileo tested Aristotle’s laws of falling objects by dropping large metal projectiles off the?
.A university building
B. church tower
C. Leaning tower of Pisa
D.Eiffel Tower
He concluded that a heavier object dropped from the same height as a lighter object will land?
A. before the lighter objects lands
B. after the lighter objects land
C. at about the same time as the lighter objects




Answers

Answer:

C. Leaning tower of Pisa and C. at about the same time as the lighter objects

Step-by-step explanation:

Answer:

Leaning Tower of Pisa

at about the same time as the lighter objects

Step-by-step explanation:

100 on edge

Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly

Answers

Answer:

33.3%

Step-by-step explanation:

If all of them are equal out of 100%

that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3

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