Given figure is composite figure, having semicircle and 3 sides of quadrilateral as perimeter. Thus the perimeter of the given figure is 50.29 inches (to the nearest hundredth).
What is perimeter of plane?
The measure of the boundary of a plane or shape is called its perimeter. Perimeter of a plane or shape is the sum of all the sides.
Given information-
In the given figure the given object is made by the a quadrilateral and a semicircle.
To find the total perimeter of this composite plane we need to find the perimeter of quadrilateral and a semicircle, desperately and then add them. Thus,
[tex]P_t=P_q+P_s[/tex]
The perimeter of a quadrilateral is the sum of its all the sides.The three sides of the quadrilateral is seen as the boundary of the given object. Thus perimeter of the upper block of plane is
[tex]P_q=5+12+5\\P_q=22\rm in[/tex]
Hence, the perimeter of the upper block is 22 inches.
Not the perimeter of the semicircle is pi times radius of semicircle. Thus,
[tex]P_q=\pi \times9\\P_q=28.286\rm in[/tex]
Hence, the perimeter of the semicircle is 28.286 inches.
Thus the total perimeter of the given figure is,
[tex]P_t=P_q+P_s\\P_t=22+28.286\\P_t=50.286\\P_t=50.29\rm in[/tex]
Hence the perimeter of the given figure is 50.29 inches (to the nearest hundredth).
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