Which of the following can be a circumference of a square that is inscribed in a circle, which has a radius R?
(1) 2r * root3
(2) 2r (root3 +1)
(3)4r+root2
(4)4r*root3
(5)8r
answer: (2)
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let side of square be s
& radius of circle is r
if we join two vertices of the square to make a diagonal, then this will divide the square into two 45-45-90 trinagles
with sides as s,s,2r
hence rt(2)*s = 2r
s = rt(2)*r
does the question require only the side or something else?
& radius of circle is r
if we join two vertices of the square to make a diagonal, then this will divide the square into two 45-45-90 trinagles
with sides as s,s,2r
hence rt(2)*s = 2r
s = rt(2)*r
does the question require only the side or something else?
Regards
Samir
Samir