# Area of rhombus using trigonometry calculator

# 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:

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