The diamond is a quadrilateral parallelogram with four equal sides. There are three formulas used to find the area of a diamond. If you want to meet them, follow these Steps.
Method 1 of 3: Using the Diagonals
Step 1. Find the length of each diagonal
The diagonals of a diamond are the lines that connect the opposite vertices (corners) of the shape. They are perpendicular and make up four right triangles along their intersection.
Let's say the diagonals are 6 cm and 8 cm long
Step 2. Multiply the length of the diagonals
Just write down the measurements equivalent to the length of each diagonal and multiply them. In this case, 6 cm × 8 cm = 48 cm2. Don't forget to square units as we are working with square units.
Step 3. Divide the result by 2
Since 6 cm × 8 cm = 48 cm2, just divide the result by 2.48 cm2 / 2 = 24 cm2. Therefore, the area of the diamond is equal to 24 cm2.
Method 2 of 3: Using Base and Height
Step 1. Find out the base length and height
You can think of this process as being equivalent to multiplying the height by the side of the diamond. Let's say that this height is equal to 7 cm and that the base is equal to 10 cm.
Step 2. Multiply base and height
Once you know the base and height of the diamond, you just need to multiply them to find the shape's area. Thus, 10 cm × 7 cm = 70 cm2. As a result, the diamond area is equal to 70 cm2.
Method 3 of 3: Using Trigonometry
Step 1. Square the measurement on either side
A diamond has four equal sides, so it doesn't matter which side you choose. Let's say the side has a measure equal to 2 cm. 2 cm × 2 cm = 4 cm2.
Step 2. Multiply the result by the sine of one of the angles
Regardless of which side you choose, let's say one of the angles is equal to 33 degrees. Just multiply the sine (33) by 4 cm2 to get the diamond area. (2 cm)2 × sine (33) = 4 cm2 × 1 = 4 cm2. The diamond area is equal to 4 cm2.