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

I need help please help me

Answers

Answer:

1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24

The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?

Answers

Answer:

21

Step-by-step explanation:

original price-reduced price

100%-70%=30%

100%=70

30%

30%/100%*70=21

=21$


f(1) = -3
f(n) = 2. f(n − 1) +1

f(2)=

Answers

f ( 2 ) = 2 × f ( 2 - 1 ) + 1

f ( 2 ) = 2 × f ( 1 ) + 1

f ( 2 ) = 2 × ( - 3 ) + 1

f ( 2 ) = - 6 + 1

f ( 2 ) = - 5

The equation of a function changed from y=x+6 to y = -x+6which statement best describes the change in the graph of the function

Answers

Answer:

6+

Step-by-step explanation:

The PS4 cost $650 when it first came out. Two years later it was only worth $250. By what percentage did the price decrease?

Answers

Answer:

It decreased by 61.5%

Step-by-step explanation:

Mr. Holmes is buying mulch for his triangular-shaped garden shown below. The mulch he is purchasing costs $3.75 per bag. If each bag covers 18 square feet, how much will it cost him?

Answers

Answer:

Step-by-step explanation: 76

4 divided by 1/2 show your work

Answers

Answer:

8

Step-by-step explanation: frst 1/2=0.5

4/0.5=8

Answer:

4 divided by 1/2 is equal to 8

Step-by-step explanation:

basically do 4*2 and you will get your answer

or you should know that 1/2=0.5

so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4

hope this helped, can i please get brainiest

Find h.(Type your answer in simplest radical form)

Answers

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

  h = √(4·32) = 8√2

and also ...

  a = √(4·36) = 12

  b = √(32·36) = 24√2

For the problem at hand, ...

  h = 8√2 = x√y   ⇒   x = 8, y = 2

The table shows a students results from spinning the pointer 30 times. Find the experimental probability that the pointer lands in a section with a number greater than or equal to 3.

Answers

Answer:

The answer is 8/15

hope it helps you

PLS HELP ASAP I WILL GIVE BRAINLEAST!!!!!

Answers

Answer:

I did the FSA review so

Step-by-step explanation:

The answers can either be

301.6

301.4

301.7

All are right

Answer:

301.6 hope this help! also have a nice day

Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?

Answers

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

enter the decimal equivalent of 11/8

Answers

Answer:

1.375

Step-by-step explanation:

Answer:

1.375 would be the answer because if you turn 3/8 into a decimal it = 0.375 so you add the 1 + 0.375 = 1.375 total

Step-by-step explanation:

A new espresso coffee maker is being used at the coffee shop where you work. It heats water to 122°F in a matter of seconds. What is the equivalent
Celsius reading of this temperature?

Answers

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}

Answers

Answer:

I believe it’s A bc there are only 4 cars in the toy box

Step-by-step explanation:

Brainliest if correct?

thanks have a good day!

Answer: a........ I think im not sure sorry

Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.

A group of friends were working on a student film. They spent all their budget on equipment and costumes. They spent $737 on equipment, and 33% of the total budget on costumes. What was the total budget for their student film?

Answers

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

PLEASE HELP ILL GIVE BRAINLIEEST
SHOW WORK

Answers

You know that it's a bot when it says "explanation in file".

They forgot to put a question, there's nothing to answer...

(5x-14)=51 how do I find x

Answers

Answer:

simply add

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x - 14) = 51

expand

5x - 14 = 51

group liked terms

5x = 51 +14

5x = 65

divide through by 5

5x÷5 = 65÷5

x= 13

3) The start-up cost to join Tunes is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded​

Answers

Answer:

X = 19 songs

Step-by-step explanation:

Y = 0.95x + 7.95

26 = 0.95x + 7.95

Solve for x

26-7.95 =0.95x

18.05/0.95 = x

X = 19 songs

plz help which one has a total of 40 square units

Answers

Answer:

The First One

Step-by-step explanation:

Because its dimensions are 5 by 8

Please help best gets brainlist and 5/5 and show work please

Answers

The answer is 12ft

Volume = (base area)(height)
900 = (75)(x)

So to figure out x you’ll need to divide 900 by 75 to get 12

Hope this helps!

select all equations that have x = 3 as a solution. A. X + 7 = 10 B. 3+ x = 3 C. x • 3 = 1 D. 4 • x = 12 ​

Answers

Answer:

A.

Step-by-step explanation:

7+3=10 so it will be A, you're welocme

Answer:

A and D

Step-by-step explanation:

A) x + 7 = 10

D) 4 × x = 12

more than 1 correct answer, help!

Answers

Answer:

Select 1, 4 and 5

The slope is -1/10

The x intercept is 100

The y intercept shows the initial amount on the card in dollars

Solve please. 20 points.

Answers

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13  one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

Which of the following shows the correct order of the given numbers?


1 5/8, 1 3/10, 1.6

1.6, < 1, 5/8 < 1 3/10

1 3/10 < 1.6 < 1 5/8

1 5/8 < 1 3/10 < 1.6

Answers

Answer:

1 3/10 < 1.6 < 1 5/8

Step-by-step explanation:

All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.

Round 4.743 to the nearest hundredth

Answers

Answer:

4,700

Step-by-step explanation:

4 is not big enough to round the 7 up to a 8

The two triangles below are similar. What is the similarity ratio of AABC to ADEF?

Answers

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

find the area of this figure.

Answers

Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285

are the triangles at the right simular explain

Answers

Answer:

no

Step-by-step explanation:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

it's all on the picture ​

Answers

Answer:

i believe its 24+12

Step-by-step explanation:

It is 24 + 12 because 4 x 6 is 24 and 4 x 3 is 12. Combine the two and you get the equation 24+12 as a final answer

When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?

Answers

Answer:

2669

Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

Range = maximum - minimum

876 = maximum - 1793

876 + 1793 = maximum

Maximum = 2669

Hence, the maximum salary Micha can earn is 2669 monthly

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