Answered

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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.
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