Answer :
length of arc = 2π
circumference of circle = 5 . 2π = 10π since the arc is 1/5 of the circumference
C =2πr
r = C/2π = 10π/2π = 5
circumference of circle = 5 . 2π = 10π since the arc is 1/5 of the circumference
C =2πr
r = C/2π = 10π/2π = 5
The radius of the circle is 5 units.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The arc of a circle is defined as the part or segment of the circumference of a circle.
Let r be the radius of the circle.
The length of an arc of a circle = 2π
Circumference of the circle = 2πr
The length of an arc of a circle is equal to 1/5 of the circumference of the circle
⇒ [tex]2\pi =\frac{1}{5} 2\pi r[/tex]
⇒ [tex]r=\frac{2\pi (5)}{2\pi }[/tex]
⇒ r = 5 units
Hence we can conclude that the radius of the circle is 5 units.
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