pls answer pavan
Asked by csmadhav | 28th Feb, 2010, 02:22: PM
The required area is shaded = Area of hexagon - 2xArea of sector of circle close to the shaded area.
BOA = 120 .... internal angle of hexagon.
The diagonal distance in a hexagon of side X is 2X, and since the radius of the circle is the side of the hexagon,
OO' = 12 cm, and the circles touch each other.
Area of hexagon = 6xArea of an equilateral triangle with side 6 cm
= (33/2)(6x6) = 543 sq cm. = 93.53 sq cm
Area of sector = (1/2)R2θ = (6x6x2x22)/(3x2x7) = 37.68 sq cm. .........angle subtended is 120.
Shaded area = 93.53 - 2x37.68 = 18.17 sq cm.
Answered by | 28th Feb, 2010, 09:46: PM
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