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College Of Applied Science

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College Of Applied Science..

Q1) The ratio of the areas of the in circle and circum circle of an
equilateral triangle is a) 1: 4 b) 11:9 c) 12:1 d) 11:3

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College Of Applied Science..

1:4. For equilateral triangle, the center for incircle and
circumcrcle is same. This is bcoz, angle bisector and side
bisector is same. If x is radius of incircle, after some
calculation, u get 2x as rad of circumcircle. Hence, the

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College Of Applied Science..

hight h =sq.root(3)/2a; a=side;
but centroid divides a median in 2:1
radius of cicum circle r1 =2/3h;
required ratio= pie.(r2)2:pie.(r1)2
=a2/3:a2/12
=1:1/4
=4:1

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