[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
- If a circumference is 6π, what is the radius?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
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,
[tex]c = 2 \pi \: r[/tex]
Substitute the value of c with 6π.
[tex]6 \pi = 2 \pi \: r[/tex]
Divide 2π from both the sides.
[tex]6 \pi ÷ 2 \pi = r[/tex]
Cancel out π & divide 6 by 2 to get 3.
[tex] \huge\boxed{ \boxed{ \bf \: 3= r}}[/tex]
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- The radius of the circle is 3 units.
