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Iteru [2.4K]
3 years ago
7

What is the length of the radius, r? 6 cm 18 cm 36 cm 72 cm.

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

The length of the radius of circle o is 18 cm.

<h2></h2><h2>Given that</h2>

Circle o has a circumference of 36π cm.

<h3>We have to determine</h3>

What is the length of the radius, r?

<h3>According to the question</h3>

Circle o has a circumference of 36π cm.

The length of the radius of the circle is determined by the following formula;

\rm Circumference = 2\pi r

Substitute all the values in the formula;

\rm Circumference = 2\pi r\\&#10;\\&#10;36\pi =2\pi r\\&#10;\\&#10;r = \dfrac{36\pi }{2\pi }\\&#10;\\&#10;r = 18 \ cm

Hence, the length of the radius of circle o is 18 cm.

To know more about Circumference click the link given below.

brainly.com/question/4268218

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Answer:

The  magnitude of the electric force  between these two objects

will be: 181.274 N.

i.e.  F  =181.274 N

Step-by-step explanation:

As

Two object accumulated a charge of  4.5 μC and another a charge of 2.8  μC.

so

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8  μC = 2.8 × 10⁻⁶  C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}

   =\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}

   =\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}        ∵ 4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6

   =\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}    ∵ \mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4

\mathrm{Cancel\:the\:common\:factor:}\:10^{-12}

  =\frac{12.6}{35.4\pi \left(10^{-2}\times \:2.5\right)^2}

  =\frac{12.6}{0.025^2\times \:35.4\pi }        ∵ \left(10^{-2}\times \:2.5\right)^2=0.025^2

  =\frac{12.6}{0.022125\pi }        ∵ 35.4\pi\times 0.025^2=0.022125\pi

   =\frac{12.6}{0.06950 }

F  =181.274 N

Therefore, the  magnitude of the electric force  between these two objects will be: 181.274 N.

i.e.  F  =181.274 N

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3 years ago
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Step-by-step explanation:

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A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

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