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2 years ago

A circle has a circumference of 907.46. What is the diameter of the circle?

1 answer:

7 0

$\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ C=907.46 \end{cases}\implies 907.46=\pi d\implies \cfrac{907.46}{\pi }=d \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 288.85\approx d~\hfill$

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Answer:

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Step-by-step explanation:

Given

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Solving (a): Number of arrangements.

We have:

$n =6$

So, the number of arrangements is calculated as:

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This gives:

$Total =6!$

This gives:

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Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

$n = 5$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =5!$

This gives:

$Total =5*4*3*2*1$

$Total =120$

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

$n = 4$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =4!$

This gives:

$Total =4*3*2*1$

$Total =24$

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Answer:

Step-by-step explanation:

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