Notice that the corners of the figure are quarters of a circumference, therefore to compute the perimeter that quarters add to the full perimeter we simply compute the perimeter of a circle with radius r= 3.
The perimeter of a circle is given by the following formula:
[tex]P=2\pi r,[/tex]
substituting π=3.14 and r=3 we get:
[tex]P=2(3.14)(3)=18.84.[/tex]
Finally, we add the length of the straight lines:
[tex]\text{Total perimeter=18.84+2x10+}2\times(10-6)\text{.}[/tex]
Answer:
[tex]\text{Perimeter}=46.8[/tex]
