Area Of Rhombus Formula Math

Sin angle sin 180 angle above we have listed the most common formulas for working out the area of a rhombus but there are others too. Area d 1 d 2 2. A area of rhombus.

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Let s say one of the angles is 33 degrees.

Area of rhombus formula math. The altitude times the side length. The area a of a rhombus is half the product of its two diagonals. Referencing rhombus abcd above let ac d 1 and bd d 2. Units large 4 times frac 1 2 times frac 1 2 d 1 times frac 1 2 d 2 sq.

Play with a rhombus. Area d1 d2 2 a r e a d 1 d 2 2. A x d 1 x d 2. 2 cm 2 x sine 33 4 cm 2 x 0 55 2 2 cm 2.

Another simple formula for the area of a rhombus when you know the lengths of the diagonals. The formula to calculate the area of a rhombus is. The area is half the product of the diagonals. Just multiply sine 33 by 4 cm 2 to get the area of the rhombus.

H is the altitude height. If our rhombus only has the measurements for the diagonals this is the formula we would use. The area of the rhombus is 2 2 cm 2. You can use variations to calculate the area using heights and angles as well.

Units 4 1 8 d 1 d 2 square units d 1 d 2. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals d1 d 1 and d2 d 2 and dividing by two. The side length squared s 2 times the sine of angle a or angle b. The area can be calculated by.

Area s 2 sin a area s 2 sin b by multiplying the lengths of the diagonals and then dividing by 2. The area of a rhombus formula is 4 area of aob large 4 times frac 1 2 times ao times ob sq. Therefore area of a rhombus a d 1 d 2. Units large 4 times frac 1 8 d 1 times d 2 square units.

A is the length of the side. A 4 area of aob 4 ao ob sq. The diagonals of a rhombus are perpendicular to each other so ac db. Area altitude s.

There are 3 ways to find the area of rhombus. Units 4 d 1 d 2 sq. The reasoning for that is because you know the two adjacent angles are supplementary so. Where d 1 and d 2 are the lengths of the two diagonals.

How to calculate area of rhombus. It doesn t matter which angle you choose. Find the formulas for same and perimeter of rhombus in the table below. Area of rhombus calculator.

The area of the rhombus will be. Where d 1 and d 2 are the diagonals of the rhombus. Where a is the side. D 1 diagonal1 first diagonal in rhombus as indicated by red line d 2 diagonal2 second diagonal in rhombus as indicated by purple line.

Area of a rhombus.