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Lapatulllka [165]
3 years ago
6

The diameter of a circle is 36 inches. What is the circle's area?

Mathematics
2 answers:
HACTEHA [7]3 years ago
5 0
<h3><u>Answer</u><u>:</u></h3>

  • 1,017.36 in²

<h3><u>Solution</u><u>:</u></h3>

The area of the circle is the region occupied by it in the two dimensional plane.

Area of a circle is given by ;

  • ➝ πr²

The diameter of the circle is 36inches

‎ㅤ‎ㅤ‎ㅤ➙ Radius = D / 2

‎ㅤ‎ㅤ‎ㅤ➙ Radius = 36 / 2

‎ㅤ‎ㅤ‎ㅤ➙ Radius = 18 inches

<em><u>Therefore, area :</u></em>

➝ A = πr²

➝ A = 3.14 × ( 18 )²

➝ A = 3.14 × 324

➝ A = 1017.36

Anettt [7]3 years ago
3 0

Solution:

<u>We know that:</u>

  • Diameter of circle = 36 in.
  • Radius of circle = Diameter/2 in.
  • Area of circle = πr²

<u>Finding the radius of the circle:</u>

  • Radius of circle = Diameter/2 in.
  • => Radius of circle = 36/2 in.
  • => Radius of circle = 18 in.

<u>Finding the area of the circle:</u>

  • Area of circle = πr²
  • => Area of circle = (3.14)(18²)
  • => Area of circle = (3.14)(324)
  • => Area of circle = 3.14 x 324 = 1017.36 in²
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We know that the confidence level for this case is 96% of confidence, then our significance level would be \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be:

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Replacing the data given we got:

0.212 - 2.05\sqrt{\frac{0.212(1-0.212)}{85}}=0.121

0.212 + 2.05\sqrt{\frac{0.212(1-0.212)}{85}}=0.303

We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).

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In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:

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We kindly invite to check this question on midpoints: brainly.com/question/4747771

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