Given:
radius of the circle = 10 cm
Circumference of the circle
The circumference C of a circle can be found using the formula:
[tex]\begin{gathered} C\text{ = 2}\pi r \\ Where\text{ r is the radius of the circle} \end{gathered}[/tex]
Substituting the given value of the radius:
[tex]\begin{gathered} C\text{ = 2 }\times\pi\times10 \\ =\text{ 62.832 cm} \end{gathered}[/tex]
length of the arc
The length l of an arc can be found using the formula:
[tex]l\text{ = }\frac{\theta}{360^0}\text{ }\times\text{ 2}\pi r[/tex]
Given:
central angle = 60 degrees
Substituting the given values into the formula:
[tex]\begin{gathered} l\text{ = }\frac{60}{360}\text{ }\times\text{2 }\times\pi\times10 \\ =\text{ 10.472 cm} \end{gathered}[/tex]
Answer Summary
Circumference of the circle = 62.832 cm
Length of the arc with a central angle of 60 degrees = 10.472 cm
