Answer:
[tex]3.14r[/tex] or [tex]\pi r[/tex]
Step-by-step explanation:
Given:
A semicircle.
To find:
Arc length of the semicircle = ?
Solution:
Formula for angle subtended by an arc on the center of circle is given as:
[tex]\theta = \dfrac{l}{r}[/tex]
where [tex]l[/tex] is the arc length and
[tex]r[/tex] is the radius of semicircle.
Angle of full circle is [tex]2\pi[/tex]
So, angle of semicircle = [tex]\pi[/tex]
Using the formula, we can see that:
[tex]l = \theta \times r[/tex]
[tex]\Rightarrow l = \pi \times r\\\\OR\\\Rightarrow l = 3.14r[/tex]
So, the answer is:
Arc Length of semicircle = [tex]3.14r[/tex] or [tex]\pi r[/tex]
