Question

Two rhombuses have sides with lengths of `11`. If one rhombus has a corner with an angle of `pi/12` and the other has a corner with an angle of `(7pi)/8`, what is the difference between the areas of the rhombuses?

Answer 1

`=14.98`

Explanation:

Area of the rhombus with sides `11` and Angle`pi/12`
`=11^2sin(pi/12)`
`=121 (.2588)`
`=31.32`
Similarly
Area of the rhombus with sides `11` and Angle`7pi/8`
`=11^2sin(7pi/8)`
`=121(0.383)`
`=46.3`
So the difference is `=46.3-31.32`
`=14.98`