The length of the arc on a circle is 3.488 cm.
Given that,
The arc on a circle with a radius of 10 cm is intercepted by a 20° angle.
We have to determine,
The length of the arc.
According to the question,
The arc length on a circle is determined by using the following formula,
[tex]\rm Arc \ length = 2\pi r \times \dfrac{Central \ angle }{360}\\\\[/tex]
Where Central angle = 20 degree, radius = 10cm
Therefore,
[tex]\rm Arc \ length = 2\pi r \times \dfrac{Central \ angle }{360}\\\\Arc \ length = 2\times 3.14\times 10 \times \dfrac{20}{360}\\\\Arc \ length = 62.8 \times \dfrac{1}{18}\\\\Arc \ length = 3.488\\\\[/tex]
Hence, The length of the arc on a circle is 3.488 cm.
For more details refer to the link given below.
https://brainly.com/question/3143794
