The *area* of a *parallelogram* is twice the *area* of a triangle created by one of its diagonals. The *area* of a *parallelogram* is also equal to the magnitude of the vector cross product of two adjacent sides.

$$a=1$$ $$b=2$$ $$Angle=60\ in\ radian$$

$$Ans= -0.60962124220443$$

$$\normalsize Parallelogram\ (a,b,\theta\rightarrow S)$$ $$(1)\ area:\hspace{50px} S=ab{\hspace{1px}}sin\theta$$

This Parallelogram calculator is really great calculator. Even if you like to calculate like angle, sides, length, base and to solve any mathematics problem of not, you're within the right place. Don't ask the way to find the world of a parallelogram, just give the calculator a try! Below you'll determine how the tool is functioning - the parallelogram area formulas and neat explanation are all you would like to know the subject.

Parallelogram area formulas

A parallelogram may be a simple quadrilateral with two pairs of parallel sides. Every rectangle may be a parallelogram also as every rhombus and square. Remember, it isn't working the opposite way round!

Parallelogram Area - the way to derive

Area given base and height

**Area = base * height**

Did you notice something? The formula for the world of a parallelogram is just about an equivalent as for rectangle area! Why is it so? Have a glance at the picture: a parallelogram are often divided into a trapezoid and a right-angled triangle and rearranged to the rectangle.

The area given sides and an angle between them

**Area = a * b * sin (angle)**

Does it ring a bell? This formula comes from trigonometry, and is employed for instance within the triangle area - the parallelogram could also be seen as two congruent triangles. The adjacent angles within the parallelogram are supplementary, so you'll choose whichever angle you would like because sin(angle) = sin(180° - angle).

An area has been given diagonals of a parallelogram and an angle between them.

Area = e * f * sin(angle)

The formula comes from trigonometry also. Does one want to understand where it comes from? Divide the parallelogram into two triangles, assume that our e diagonal is that the "base" for both new triangles. What is the height of that triangle? Use the sine function. It's (f/2) * sin (angle)! The world of Triangular is adequate to our "base" e times height: e * (f/2) * sin (angle) The parallelogram consists of two such triangles, therefore the area equals e * f * sin (angle).

You are still unsure the way to use the parallelogram area calculator? We’ll show you step by step:

Have a glance at your exercise. What’s given, what's unknown? Choose the proper calculator part for your needs. Assume that we would like to calculate the world knowing the diagonals of a parallelogram and therefore the angle between diagonals.

Enter the given values to the proper boxes. Assume 5 in, 13 in, and 30° for the primary diagonal, other and therefore the angle between them, respectively.

The calculator displays the world of a parallelogram value. It's 32.5 in² in our case.

This use this parallelogram calculator is really simple and it’s really great to work with. You can do your calculation really quick and you will be saving your time for doing this rather than wasting your time while doing manually. Because it will take time if you will do manually or even you don’t know if your answer is correct or not or it can be so stressful if you don’t like mathematics or you don’t know how to do math.

We have created this tool for students and any individual who need this tool for their use. It is totally free and it is really great to do that. You can use it anytime and anywhere you want because this tool is web based tool so you don’t have to worry about anything.

Now as you can see you have this tool open on your computer or desktop.

You have been given text boxes here so that you can enter your value here.

After you will enter all your values here you have to click on the calculate button so that you will be able to get the result you are looking for.

That’s all you have to do to calculate your problems, you don’t need to worry about the formula because the tool is already included with the help of formula and with the help of using formula.

Note: You can also bookmark this tool if you think you can use it or you will be using this tool in the future.

A. The Area Of A Parallelogram Is Twice The Area Of A Triangle Created By One Of Its Diagonals. The Area Of A Parallelogram Is Also Equal To The Magnitude Of The Vector Cross Product Of Two Adjacent Sides.