The side of the rhombus is 8. The radius of the circle inscribed in this rhombus is 2. Find the area of the rhombus.
| June 16, 2021 | education
From the center of the circle, construct the radius OH to the point of tangency N.
OH is the height of the right-angled triangle AOB, then Sosv = AB * OH / 2 = 8 * 2/2 = 8 cm2.
The diagonals of the rhombus divide it into four equal triangles, then Savsd = 4 * Saov = 4 * 8 = 32 cm2.
Answer: The area of the rhombus is 32 cm2.
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