Answered

Join IDNLearn.com and start exploring the answers to your most pressing questions. Get the information you need quickly and accurately with our reliable and thorough Q&A platform.

Select the correct answer.

Given the following formula, solve for [tex]r[/tex].
[tex]
C=2 \pi r
[/tex]

A. [tex]r=\frac{C}{2 \pi}[/tex]

B. [tex]r=\frac{C-\pi}{2}[/tex]

C. [tex]r=2 \pi C[/tex]

D. [tex]r=C-2 \pi[/tex]

Sagot :

GinnyAnsweridn
To solve for [tex]\( r \)[/tex] in the given formula:

[tex]\[ C = 2 \pi r \][/tex]

we need to isolate [tex]\( r \)[/tex].

1. Start with the given formula:
[tex]\[ C = 2 \pi r \][/tex]

2. Divide both sides of the equation by [tex]\( 2 \pi \)[/tex]:
[tex]\[ \frac{C}{2 \pi} = r \][/tex]

3. Simplify the right-side:
[tex]\[ r = \frac{C}{2 \pi} \][/tex]

So, the correct expression for [tex]\( r \)[/tex] in terms of [tex]\( C \)[/tex] is:

[tex]\[ r = \frac{C}{2 \pi} \][/tex]

Now, let's match this expression with the given choices:

A. [tex]\( r = \frac{C}{2 \pi} \)[/tex] - This is correct.

B. [tex]\( r = \frac{C - \pi}{2} \)[/tex] - This is incorrect because it does not effectively isolate [tex]\( r \)[/tex] according to the given formula.

C. [tex]\( r = 2 \pi C \)[/tex] - This is incorrect because it multiplies [tex]\( C \)[/tex] by [tex]\( 2 \pi \)[/tex] instead of dividing by [tex]\( 2 \pi \)[/tex].

D. [tex]\( r = C - 2 \pi \)[/tex] - This is incorrect because it subtracts instead of dividing by [tex]\( 2 \pi \)[/tex].

Thus, the correct choice is:

[tex]\[ \boxed{1} \][/tex]

So, you should select:

A. [tex]\( r = \frac{C}{2 \pi} \)[/tex]
Tristan5394idn

Answer:

A. [tex]r=\frac{C}{2\pi}[/tex]

Step-by-step explanation:

C = 2πr (Starting equation)

C/(2π) = r (Divide both sides by 2π)

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.