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For a rhombus with diagonals of length 6 cm and 8 cm.

For a rhombus with diagonals of length 6 cm and 8 cm.

 (a) Find the length of each side of the rhombus.

 (b) Find the area of the rhombus.

 (c) Explain why a circle can be inscribed inside a rhombus (any rhombus). A circle inscribed in a polygon means each side of the polygon is tangent to the circle. Use what you know about why any triangle has an inscribed circle.

 (d) Find the exact area of the inscribed circle in terms of π.


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