The are of a rombus is 6 cm^2. The area of the inscribed circle is 3 cm^2. what are the angles of the rombus?
The height of the rhombus is equal to the diameter of the circle. Compute the radius of the circle given its area using:
`A=pid^2/4` or `d=2sqrt(A/pi)`
Substitute `3cm^2` for A to obtain d.
The area A of a rhombus is equal to the product of its side s by its height h.
Determine the side s by substituting `6cm^2` for A and `1.95cm` for h and solving for s.
Compute angle A using the sine trigonometric function:
The sum of all the angles of the rhombus is equal to 360 degrees. Compute the value of angles B and D.
Therefore the angles are A=C=39.28 degrees and B=D=140.74 degrees.