Question 38

Given are the following three equations:

Q38

How many circles are equivalent to a square, as per the ratios in the three given equations?

Solution

Let us represent a square, circle, triangle and rhombus as s, c, t and r respectively and form eqns.

1) s*c=t

2) s=c*r

3) (t^2)=(r^3)

Expressing t and r in 3rd eqn in terms of s and c, we get:

=>((s*c)^2) = ((s/c)^3)

=> s = (c^5) which is shown in option A.


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