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Agata [3.3K]
3 years ago
10

The area of a circle is 201cm² . what is the diameter ?

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0

The answer is 16 cm approx.

Diameter= 2\sqrt{a/pi}

=>2\sqrt{201 / 22/7}

=>2\sqrt{201*7/22}

=>15.997.......

=> 16 approx

Hope this helps you!!

seraphim [82]3 years ago
5 0

Answer:

The diameter of the circle  is 16

Step-by-step explanation:

\pi = 3.14

Area = \pi r^{2} you will have to use this formula to find the radius

\pi r^{2} = 201   =   3.14r^{2}=201 (divide 3.14 into both sides)

\frac{3.14r^2}{3.14} = \frac{201}{3.14}   cross out 3.14 leaves you with r^2  and divide 201/3.14= 64.01

r^2 = 64.01\\r = \sqrt{64.01}\\r = 8  square root 64.01 which equals 8

Diameter = 2r    2(8) = 16

To check answer use Area formula \pi (8)^{2} = 201. 0619298

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Answer:

x < 3

Step-by-step explanation:

4x - 7 < 5

Add 7 to both sides;

4x < 12

Divide both sides by 4;

x < 3

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3 years ago
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The set of the consecutive odd numbers 1, 3, 5, 7, ... , N has a sum of 400. How many numbers are in the set?
Amanda [17]

Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.

First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
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Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:

         1, 3, 5, 7, 9, 11, 13, 15 .

Number of items in the set . . . 8
Sum of all the items in the set . . . 64

Hmmm.  That's interesting.  64 happens to be the square of 8 . 
Do you think that might be all there is to it ?

Let's check it out:

Even-numbered lists of odd numbers:

1, 3                                   Items = 2, Sum = 4
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1, 3, 5, 7, 9, 11                 Items = 6, Sum = 36
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Amazing !  The sum is always the square of the number of items in the set !

For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.

I slogged through it on my calculator, and it's true.

I never knew this before.  It seems to be something valuable
to keep in my tool-box (and cherish always).


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3(x+1)+5(x+1)=64<br> What is x
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Answer:

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Step-by-step explanation:

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