Skip to content
RK Calculator
Menu

Parallelogram Area Calculator

Find a parallelogram's area from its base and height, two sides and an angle, or its diagonals and the angle between them.

Change the values and press Calculate to work out your own figures.

Parallelogram

Enter the base and height.

About base (b)The base.
About height (h)The perpendicular height.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the parallelogram
600 ft²

The area of the parallelogram is 600 ft².

In other units
AmountUnit
55.741824m²
557,418.24cm²
600ft²
86,400in²
66.66666667yd²
0.01377410468acres
Show the working
  1. A = b × h
  2. Area = 600 ft²

Two sides and an angle

Enter the side a, side b and angle.

About side aFirst side.
About side bSecond side.
About angle (θ)The angle, in the unit chosen below.
About angle inDegrees or radians.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the parallelogram
34.64101615 ft²
Perimeter
26 ft
Height (to side a)
4.330127019 ft
Short diagonal
7 ft
Long diagonal
11.35781669 ft
Other angle
120°

The area of the parallelogram is 34.64101615 ft².

In other units
AmountUnit
3.218255709m²
32,182.55709cm²
34.64101615ft²
4,988.306326in²
3.849001795yd²
0.0007952483047acres
Show the working
  1. A = a × b × sin α, α = 60°
  2. Area = 34.64101615 ft²

Diagonals and the angle between them

Enter the diagonal p, diagonal q and angle.

About diagonal pOne diagonal.
About diagonal qThe other diagonal.
About angle (θ)The angle, in the unit chosen below.
About angle inDegrees or radians.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the parallelogram
15 ft²
Side a
7.744724793 ft
Side b
2.831825893 ft

The area of the parallelogram is 15 ft².

In other units
AmountUnit
1.3935456m²
13,935.456cm²
15ft²
2,160in²
1.666666667yd²
0.0003443526171acres
Show the working
  1. A = ½ × p × q × sin θ, θ = 30° (the angle between the diagonals)
  2. Area = 15 ft²

How to use it

Enter the base and height. Enter the side a, side b and angle. Enter the diagonal p, diagonal q and angle.

Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.

Key facts

A = b h = a b sin α = ½ p q sin θ

Choosing a method

Use the height when you can measure straight across; otherwise two sides and the angle between them.

Questions

What is the area with sides 8 and 5 at 60°?

20√3 ≈ 34.64101615.

And with base 30 and height 20?

600.

Formulas

A = b h = a b sin α = ½ p q sin θ

Sources

Limitations

  • All measurements in one calculation use the same unit; the answer is also given in other units.
  • Measurements up to 10¹⁵.

Formula version 0.1.0Reviewed