# Area of rhombus using trigonometry calculator

To find the area of a rhombus using trigonometry, you need to know the length of one of the diagonals and the angle between the diagonals. Here are the steps to find the area of a rhombus using trigonometry calculator:

1. Measure the length of one of the diagonals of the rhombus.
2. Measure the acute angle between the two diagonals. Let’s call this angle “θ”.
3. Use the following formula to calculate the area of the rhombus:Area = (diagonal 1 x diagonal 2 x sin(θ)) / 2where “sin” is the sine function in trigonometry.
4. Input the values of diagonal 1, diagonal 2, and θ into the trigonometry calculator.
5. Multiply the product of diagonal 1, diagonal 2, and sin(θ) by 1/2.
6. The result will be the area of the rhombus in square units.

Here’s an example: if the length of diagonal 1 is 6 cm and the length of diagonal 2 is 8 cm, and the angle between them is 60 degrees, the formula would be:

Area = (6 cm x 8 cm x sin(60°)) / 2

Using a trigonometry calculator, we get:

sin(60°) = 0.8660254 (rounded to 7 decimal places)

Area = (6 cm x 8 cm x 0.8660254) / 2 Area = 20.7846096 square cm

So the area of the rhombus is approximately 20.78 square cm.