The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth
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Answer:
The perimeter of the figure is 86.53 meters
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle, plus the sum of the legs of the right triangle
step 1
Find the circumference of a semicircle
The circumference of a semicircle is given by the formula
[tex]C=\pi r[/tex]
we have
[tex]r=29/2=14.5\ m[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]C=(3.14)(14.5)=45.53\ m[/tex]
step 2
The sum of the legs of the right triangle is equal to
[tex]20+21=41\ m[/tex]
step 3
Perimeter of the figure
[tex]45.53+41=86.53\ m[/tex]