Find the perimeter P of the figure.

Question

what is the perimeter

Answer 1

If this figure is drawn to scale,  it consist of two  identical sector of a circle with radius 4 and two square with each length 4.

perimeter of each circle is, 8

(remember we are only concern with the perimeter on the outside.)

 

Length of each arch of a sector is given by equation,

s  = theta * radius [ s is the arc length , theta is the angle inscribed by the sector, and r is the radius]

    = (pi/2) * 4

     = 2 pi

So total perimeter of figure  = 4 +4 +4+4 +2pi +2pi

                                         = 16 + 4  pi      or ( 28.57 units)