inscribed triangle


Triangle ABC is an equilateral triangle inscribed in a circle. A smaller circle of radius (2 √ 3 – √ 5 ) cm is drawn such that it has its center on BC, and AB and AC are tangents to this smaller circle at D and E. Find the ratio of the area enclosed between side BC and the part of the larger circle not containing point A to the area of the smaller circle outside triangle ABC.

a.    8/27π(4π – 3 √3)

b.     (4 – 3 √3)/27

c.    √3/ 7√5

d.    Cannot be determined


n/a

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