Length of the radius of the circle is equals to 6units.
What is length of the arc?
" Length of the arc is defined as the distance between two point as a part of the circumference of the given curve."
Formula used
Length of the arc = rθ
r = radius of the circle
θ = central angle
Radius = [tex]\frac{diameter}{2}[/tex]
According to the question,
Given,
Diameter = AB
Length of the arc = 6pi
Here central angle formed with diameter 'θ' = 180°
= [tex]\pi[/tex]
Substitute the value in the length of the arc formula we get,
[tex]6\pi = r \pi[/tex]
⇒ [tex]r = 6units[/tex]
Hence, length of the radius of the circle is equals to 6units.
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