Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The circumference of a circle is [tex]$8\pi$[/tex] centimeters. What is the radius?

Give the exact answer in simplest form.

___ centimeters

Sagot :

GinnyAnswer
To find the radius of a circle when the circumference is given, you can use the formula for the circumference of a circle, which is:

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

where \( C \) is the circumference and \( r \) is the radius.

Here, the given circumference \( C \) is \( 8 \pi \) centimeters.

1. Substitute the given circumference into the formula:

[tex]\[ 8 \pi = 2 \pi r \][/tex]

2. To isolate \( r \), divide both sides of the equation by \( 2 \pi \):

[tex]\[ \frac{8 \pi}{2 \pi} = r \][/tex]

3. Simplify the fraction on the left side:

[tex]\[ \frac{8 \pi}{2 \pi} = 4 \][/tex]

Therefore, the radius of the circle is:

[tex]\[ r = 4 \][/tex]

So, the radius of the circle is [tex]\( 4 \)[/tex] centimeters.
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.