What is the ratio of the area of a square that circumscribes a circle to
the area of a square that inscribes the same circle?
(a) sqrt2
(b) sqrt3
(c) 2
(d) sqrt 6
(e) 3
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Square Inscribed and Circumscribed
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thephoenix
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imo cdtweah wrote:What is the ratio of the area of a square that circumscribes a circle to
the area of a square that inscribes the same circle?
(a) sqrt2
(b) sqrt3
(c) 2
(d) sqrt 6
(e) 3
let the dia of circle=d
the area of outer square=d^2[ side of sq=dia of circle]
the area of inner sq=d^2/2[dia of circle=diagonal of inner sq----> sq of diagonal=2a^2--->a^2=d^2/2]
ratio=d^2/[d^2/2]=2
