Question

If a circumference is 6π, what is the radius?

Answer 1

3

Explanation:

2 * pi * 3 = 6 * pi

Answer 2

`\huge \boxed{\mathfrak{Question} \downarrow}`

• If a circumference is 6π, what is the radius?

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

Given,

• circumference of the circle (c) = 6π
• radius of the circle (r) = ?

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We can solve this question using the formula ⇨ circumference = 2 × π × radius of the circle.

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So,

`c = 2 \pi \: r`

Substitute the value of c with 6π.

`6 \pi = 2 \pi \: r`

Divide 2π from both the sides.

`6 \pi ÷ 2 \pi = r`

Cancel out π & divide 6 by 2 to get 3.

`\huge\boxed{ \boxed{ \bf \: 3= r}}`

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• The radius of the circle is 3 units.