Larger perimeter

A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter?

Correct answer:

x =  1

Step-by-step explanation:

a=1  r2 = (a/2)2 + (ar)2 r2 = a2/4 + a22ar +r2 2ar = a2/4 + a2 2r = a/4 + a r = a/8+a/2 r=85 a=85 1=85 1=85=0.625  o1=4 a=4 1=4 o2=2π r=2 3.1416 0.6253.927  o1>o2 x=1



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