Biology : asked on sarah7484
 06.05.2020

Find the circumference of a circle with a diameter of 50 cm

. 0

Step-by-step answer

24.06.2023, solved by verified expert

Faq

Biology
Step-by-step answer
P Answered by PhD

C≈157.08

Explanation:

I looked it up

Mathematics
Step-by-step answer
P Answered by Specialist
B. because the actual circumference is 1570.7963267948964 and if you round that it is 1570 since thats the main number and it isn't bigger than 5. I hope I helped! (:
Mathematics
Step-by-step answer
P Answered by Specialist
We will use this formula: C = \pid.

Where d is the diameter.

Plug in all the variables.

C = 3.14 * 500
C = 1570

So, the answer to this question is D. 1570 kilometers.
Mathematics
Step-by-step answer
P Answered by Master
B. because the actual circumference is 1570.7963267948964 and if you round that it is 1570 since thats the main number and it isn't bigger than 5. I hope I helped! (:
Mathematics
Step-by-step answer
P Answered by Specialist
We will use this formula: C = \pid.

Where d is the diameter.

Plug in all the variables.

C = 3.14 * 500
C = 1570

So, the answer to this question is D. 1570 kilometers.
Mathematics
Step-by-step answer
P Answered by PhD
We know, Circumference of a Circle = 2πr
Here, r = 500/2 = 250

So, C = 2 * 3.14 * 250
C = 1570 Km

In short, Your Answer would be Option B

Hope this helps!
Mathematics
Step-by-step answer
P Answered by Specialist
Hey there,

So, we need to remember that the circumference of a circle is \pi3.14

So this means that we would do  500×3.14.

And by this we do. . 

Firstly, work out 4 × 500. As mentioned before, we can ignore the decimal point for now. The smaller figures in green are the tens figures carried over. Working from right to left:

4 × 0 = 0

4 × 0 = 0

4 × 5 = 20

Put the 0 in the appropriate column and carry the 2.

We now work out 10 × 500.
This can be written as 1 × 500 × 10.

Because we are multiplying by 10, we place 1 zero to the right and then work out 1 × 500.

1 × 0 = 0

1 × 0 = 0

1 × 5 = 5

Lastly, work out 300 × 500.
This can be written as 3 × 500 × 100.

Because we are multiplying by 100, we place 2 zeroes to the right and then work out 3 × 500.

3 × 0 = 0

3 × 0 = 0

3 × 5 = 15

Put the 5 in the appropriate column and carry the 1

Finally the 3 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.

0 + 0 + 0 = 0

0 + 0 + 0 = 0

0 + 0 + 0 = 0

0 + 5 + 2 = 7

5 = 5

1 = 1

How is the decimal point positioned? 3.14 has 2 digits after the decimal point.

The final answer must also have 2 digits after the decimal point.

So: 500 × 3.14 = \boxed{1570.00}

~Jurgen
Mathematics
Step-by-step answer
P Answered by PhD

QUESTION 1a

We want to change 0.578 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

0.578=\frac{0.578\times 1000}{1000}


This implies that,


0.578=\frac{578}{1000}


0.578=\frac{289\times 2}{500\times 2}


We cancel out the common factors to get,


0.578=\frac{289}{500}


QUESTION 1b


We want to convert 3.5 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

3.5=\frac{3.5\times 10}{10}


This implies that,


3.5=\frac{35}{10}


3.5=\frac{7\times 5}{2\times 5}


We cancel out the common factors to get,


3.5=\frac{7}{2}


Or as mixed numbers, we have

3.5=3\frac{1}{2}


QUESTION 1c


We want to convert 2.73 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

2.73=\frac{2.73\times 100}{100}


This implies that,


2.73=\frac{273}{100}


Or as mixed numbers, we have

2.73=2\frac{73}{100}

QUESTION 1d

We want to change 0.4211 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

0.4211=\frac{0.4211\times 10000}{10000}


This implies that,


0.4211=\frac{4211}{10000}


Question 2a

We want to convert \frac{6}{10} into decimal.


This fraction is having a denominator of 10 so we just have to move the decimal point back once to get,


\frac{6}{10}=0.6

Check attachment for long division.


QUESTION 2b

We want to convert \frac{43}{100} into decimal.


This fraction is having a denominator of 100 so we just have to move the decimal point back twice to get,


\frac{43}{100}=0.43

Check attachment for long division.


QUESTION 2c

We want to change \frac{3}{10} into decimal.


This fraction is having a denominator of 10 so we just have to move the decimal point back once to get,


\frac{3}{10}=0.3

Check attachment for long division.

QUESTION 2d

The given fraction is \frac{423}{1000}.


This fraction is having a denominator of 1000 so we just have to move the decimal point back three times to obtain,


\frac{423}{1000}=0.423

Check attachment for long division.

QUESTION 3a

The given fraction is \frac{1}{4}.

We can make the denominator 100 by multiplying both the numerator and the denominator by 25 to obtain,

\frac{1}{4} =\frac{1\times 25}{4\times 25}


This implies that,


\frac{1}{4} =\frac{25}{100}


We move the decimal point back twice to obtain,

\frac{1}{4} =0.25


See attachment for long division


QUESTION 3b

The given fraction is \frac{2}{5}.

We can make the denominator 10 by multiplying both the numerator and the denominator by 2 to obtain,

\frac{2}{5} =\frac{2\times 2}{5\times 2}


This implies that,


\frac{2}{5} =\frac{4}{10}


We move the decimal point back twice to obtain,

\frac{2}{5} =0.4

See attachment for long division

QUESTION 3c


We want to change \frac{2}{3} into decimals.


We use long division as shown in the attachment to obtain;


\frac{2}{3}=0.66...


QUESTION 3d


The given fraction is \frac{3}{4}.

We can make the denominator 100 by multiplying both the numerator and the denominator by 25 to obtain,

\frac{3}{4} =\frac{3\times 25}{4\times 25}


This implies that,


\frac{3}{4} =\frac{75}{100}


We move the decimal point back twice to obtain,

\frac{3}{4} =0.75


QUESTION 4a


We want to simplify

18.67+3.465+0.2+3.21


We arrange to obtain,

 18.670

  3.465

  0.200

+ 3.210

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

 25.545

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

QUESTION 4b


We want to simplify

3.56+4.21+3.009+0.35


We rearrange and carry out the operation as follows;

3.256

4.210

3.009

+0.350

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

10.825

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



QUESTION 4c


We want to simplify

7-3.06


We rearrange and perform the operation as follows;

7.00

-3.06

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

3.94

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


QUESTION 4d

We want to simplify,

62.98-3.555

We rearrange and carry out the operations as follows;

62.980

-3.555

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

59.425

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


QUESTION 4e


We want to simplify the product;

5.3\times 12


=\frac{53}{10}\times 12


=\frac{636}{10}


=63.6



The rest of the solutions will be in the attachment


Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Mathematics
Step-by-step answer
P Answered by PhD

QUESTION 1a

We want to change 0.578 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

0.578=\frac{0.578\times 1000}{1000}


This implies that,


0.578=\frac{578}{1000}


0.578=\frac{289\times 2}{500\times 2}


We cancel out the common factors to get,


0.578=\frac{289}{500}


QUESTION 1b


We want to convert 3.5 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

3.5=\frac{3.5\times 10}{10}


This implies that,


3.5=\frac{35}{10}


3.5=\frac{7\times 5}{2\times 5}


We cancel out the common factors to get,


3.5=\frac{7}{2}


Or as mixed numbers, we have

3.5=3\frac{1}{2}


QUESTION 1c


We want to convert 2.73 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

2.73=\frac{2.73\times 100}{100}


This implies that,


2.73=\frac{273}{100}


Or as mixed numbers, we have

2.73=2\frac{73}{100}

QUESTION 1d

We want to change 0.4211 to a fraction in the simplest form.


We need repeatedly multiply by multiples of 10, until we obtain an integer(the least integer). We then divide by the same value that we used to multiply to get,

0.4211=\frac{0.4211\times 10000}{10000}


This implies that,


0.4211=\frac{4211}{10000}


Question 2a

We want to convert \frac{6}{10} into decimal.


This fraction is having a denominator of 10 so we just have to move the decimal point back once to get,


\frac{6}{10}=0.6

Check attachment for long division.


QUESTION 2b

We want to convert \frac{43}{100} into decimal.


This fraction is having a denominator of 100 so we just have to move the decimal point back twice to get,


\frac{43}{100}=0.43

Check attachment for long division.


QUESTION 2c

We want to change \frac{3}{10} into decimal.


This fraction is having a denominator of 10 so we just have to move the decimal point back once to get,


\frac{3}{10}=0.3

Check attachment for long division.

QUESTION 2d

The given fraction is \frac{423}{1000}.


This fraction is having a denominator of 1000 so we just have to move the decimal point back three times to obtain,


\frac{423}{1000}=0.423

Check attachment for long division.

QUESTION 3a

The given fraction is \frac{1}{4}.

We can make the denominator 100 by multiplying both the numerator and the denominator by 25 to obtain,

\frac{1}{4} =\frac{1\times 25}{4\times 25}


This implies that,


\frac{1}{4} =\frac{25}{100}


We move the decimal point back twice to obtain,

\frac{1}{4} =0.25


See attachment for long division


QUESTION 3b

The given fraction is \frac{2}{5}.

We can make the denominator 10 by multiplying both the numerator and the denominator by 2 to obtain,

\frac{2}{5} =\frac{2\times 2}{5\times 2}


This implies that,


\frac{2}{5} =\frac{4}{10}


We move the decimal point back twice to obtain,

\frac{2}{5} =0.4

See attachment for long division

QUESTION 3c


We want to change \frac{2}{3} into decimals.


We use long division as shown in the attachment to obtain;


\frac{2}{3}=0.66...


QUESTION 3d


The given fraction is \frac{3}{4}.

We can make the denominator 100 by multiplying both the numerator and the denominator by 25 to obtain,

\frac{3}{4} =\frac{3\times 25}{4\times 25}


This implies that,


\frac{3}{4} =\frac{75}{100}


We move the decimal point back twice to obtain,

\frac{3}{4} =0.75


QUESTION 4a


We want to simplify

18.67+3.465+0.2+3.21


We arrange to obtain,

 18.670

  3.465

  0.200

+ 3.210

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

 25.545

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

QUESTION 4b


We want to simplify

3.56+4.21+3.009+0.35


We rearrange and carry out the operation as follows;

3.256

4.210

3.009

+0.350

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

10.825

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



QUESTION 4c


We want to simplify

7-3.06


We rearrange and perform the operation as follows;

7.00

-3.06

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

3.94

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


QUESTION 4d

We want to simplify,

62.98-3.555

We rearrange and carry out the operations as follows;

62.980

-3.555

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

59.425

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


QUESTION 4e


We want to simplify the product;

5.3\times 12


=\frac{53}{10}\times 12


=\frac{636}{10}


=63.6



The rest of the solutions will be in the attachment


Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211
Change the decimal to a fraction. reduce the fraction if possible. a. 0.578 b. 3.5 c. 2.73 d. 0.4211

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