A circle with an area of 0.5 is inscribed in a rhombus with area 1. Determine the length of the rhombus side.

univerkov | December 29, 2020 | education

Since circles are inscribed in the rhombus, the height of the rhombus is equal to the diameter of the inscribed circle. KM = 2 * R.
R = KM / 2.
The area of the inscribed circle is equal to: Sp = π * R2 = π * KM / 4 = 0.5 cm2.
KM = 0.5 * 4 / π = 2 / π cm.
The area of the Rhombus is Savsd = AB * KM = 1 cm2.
AB = 1 / KM = 1 / (2 / π) = 0.5 * π cm.
Answer: The length of the side of the rhombus is 0.5 * π cm.

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