A circle is inscribed in a rhombus whose diagonals are 12 cm and 16 cm. Find the radius of the circle.

Question

Accepted Answer

4.8 cm. Side = √6^2 + 8^2 = 10 cm. Area = 1/2 × 12 × 16 = 96 cm^2. The incircle's radius is the distance from the centre to a side: area = 1/2 × r × perimeter, so 96 = 1/2 × r × 40, r = 4.8 cm. 9.6 cm is the full height.

A circle is inscribed in a rhombus whose diagonals are 12 cm and 16 cm. Find the radius of the circle.

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