Answer:
[tex]P=5(\pi+2)\ cm[/tex]
Step-by-step explanation:
The correct question is
What is the perimeter of a semicircle whose diameter is 10 cm?
see the attached figure to better understand the problem
we know that
The perimeter of a semicircle is given by the formula
[tex]C=\pi r[/tex]
In this problem the perimeter of the figure is equal to
[tex]P=\pi r+2r[/tex]
where
r is the radius of semicircle
we have
[tex]r=5\ cm[/tex]
substitute
[tex]P=\pi (5)+2(5)[/tex]
[tex]P=(5\pi+10)\ cm[/tex]
Simplify
[tex]P=5(\pi+2)\ cm[/tex]
