Incircle to circumcircle

Find the ratio of the areas of the incircle and the circumcircle of a square.

Correct answer:

k =  1:2

Step-by-step explanation:

a = 2r d = a2+a2 = 2a2 = 2 a = 2R  r = a/2  R = 2 r  S1 = π  r2 S2 = π   R2  k = S1:S2 k =  π  R2π  r2 k =  R2r2 k =  (2r)2r2 k =  2r2r2  k=21=0.5=1:2



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