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Morgarella [4.7K]
3 years ago
6

One way of finding the area of a circle is by inscribing the circle inside a square. What is the area of the square?

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

    You find the area of the circle by using A = πr^2. Next you find the area of the square by finding the circle diameter since the circle touches side to side, and then multiply the diameter (width of square) x diameter (height of square) = the area of the square. From there just subtract the area of the square by the area of the circle = the none over lapping area of the square. You needed to subtract the area of the square by the area of the circle because the none over lapping are of the square is those little triangles on the corners.

Hope this helps :)


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3 years ago
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2 years ago
A past survey of students taking a standardized test revealed that ​% of the students were planning on studying engineering in c
Angelina_Jolie [31]

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  -0.00870

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  n_1  =  1068000

     The first proportion  \r p_1 = 0.084

     The second  sample size is  n_2  =  1476000

     The  second  proportion is  \r p_2 =  0.092

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      \alpha =  (100 - 95)\%

     \alpha =  0.05

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      Z_{\frac{\alpha }{2} } =z_c=  1.96

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  (\r p_1 - \r p_2  )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }

Here \r q_1 =  1 - \r p_1

  =>   \r q_1 =  1 - 0.084

 =>    \r q =  0.916

and  

   \r q_2 =  1 - \r p_2

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=>   \r q_2 = 0.908

So  

 (0.084 - 0.092 )- (1.96)*  \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }

  -0.00870

 

3 0
3 years ago
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