roughworks

UCEED 2019

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UCEED2019Q15·nat·Hard

The figure shows two concentric equilateral triangles with a circle within, such that the circle touches all the edges of the triangle. If the radius of the circle is √3 (square root of three), what is the total length of the star shaped outer border formed by the two intersecting triangles?

The figure shows two concentric equilateral triangles with a circle within, such that the circle touches all the edges of the triangle. If the radius of the circle is √3 (square root of three), what is the total length of the star shaped outer border formed by the two intersecting triangles?