1.  The area of a rhombus if you know diagonals and angle  

area rhombus

DD blue  -  larger diagonal

d blue  -  smaller diagonal

alpha red  -  acute angle

beta green  -  obtuse angle

 

Formulas for calculating Area of a rhombus if given diagonals and angle ( A ) :

area rhombus F1

area rhombus Fd1  area rhombus Fd2

 

 

2.  The area of a rhombus if you know side and angle

area rhombus

 

a black  - side  of a rhombus

alpha red , beta green     -  angles of a rhombus

 

 

Formula for calculating Area of a rhombus if given side and angles ( A ) :

area rhombus Fa1   area rhombus Fa2

 

 

3.  The area of a rhombus if you know side and radius of the inscribed circle  

area rhombus radius1

 

a black  - side  of a rhombus

h  - height  of a rhombus

rr red  - radius  of the inscribed circle

 

Formula for calculating Area of a rhombus if given side and radius of the inscribed circle ( A ) :

area-rhombus-height-F    area-rhombus-radius-F