A square is inscribed in circle C,circle D is inscribed in that square. what is the ratio of arears of circe C to D?
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A square is inscribed in circle C,
circle D is inscribed in that square.
what is the ratio of arears of circe C to D?
The diagonal of the square is the diameter of [outer] circle C
The side of the square is the diameter of [inner] circle D
call the side of the square 1
Circle C Circle D
the diagonal of the square is sqrt(2) the side of the square is 1
the radius of circle C is sqrt(2) / 2 the radius of circle D is 1 / 2
the area of circle C is π (1/2) the area of circle D is π (1/4)
the π's cancel leaving the ratio of AreaC to AreaD = 1/2 to 1/4 = 2 to 1
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