Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `3` and sides C and D have a length of `6`. If the angle between sides A and C is `(7 pi)/18`, what is the area of the parallelogram?

Answer 1

`16.902`

Explanation:

I have mentioned `(7pi)/18` as `70^circ`

Because,

`(7pi)/18=(7*180)/18=7*10=70^circ`

To find the area of the parallelogram,

We use the formula

`color(blue)(a*b*sin(gamma)`

Where,

`color(orange)(a and b` `color(orange)("are the sides"`

`color(orange)(gamma` `color(orange)( "is the angle between them"`

Let's calculate the area

`rarra*b*sin(gamma)`

`rarr6*3*sin(70)`

`rarr6*3*0.939`

`rarr18*0.939`

`color(green)(rArr16.902`