If three circles are inscribed inside a circle The radius of the small circles is r What is the radius

let distane of smaller circle to bigger circle is x.
so,cos30=r/x
(3^1/2)/2=r/x
we get x as 1.15r
so radius of bigger circle is r+1.15r=2.15r
10 years agoHelpfull: Yes(5) No(1)
radius of big circle is 2r
10 years agoHelpfull: Yes(2) No(6)
if 3 circles are inscribed in a large circle it forms an equilateral triangle.the center of the large circle becomes the point of intersection of medians of three sides of a triangle..As for equilateral triangle all the sides are equal so the median is same for all i.e,. (√3/2)side of triangle.
therefore (√3/2)2r=√3r
hence radius of the large circle is √3r+r=(√3+1)r
=(1.717+1)r
=2.71r
10 years agoHelpfull: Yes(2) No(0)
max 2r ,,just because if 3 small circle inside the big circle take half of the radious of big circle.
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@Ankita: better to marry with your answer.....
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r
Bcz all circles may be of same radius
10 years agoHelpfull: Yes(0) No(2)

If three circles are inscribed inside a circle. The radius of the small circles is r. What is the radius of the big circle?