Area Under the Curve Calculator is a free online tool that displays the area for the given curve function specified with the limits. BYJU’S online area under the curve calculator tool makes the calculation faster, and it displays the area under the curve function in a fraction of seconds. Show
How to Use the Area Under the Curve Calculator?The procedure to use the area under the curve calculator is as follows: What is Meant by Area Under the Curve?In mathematics, the area under the curve for the given function f(x) having the limits x= a and x = b is given by the definite integral formula. In case, if the area between two bounding values lies above the x-axis, then it has a positive sign. If the area between two values lies below the x-axis, then the negative sign has to be taken. The formula to calculate the area under the curve is given by: The area between two curves calculator is a free online tool that gives the area occupied within two curves. BYJU’S online area between two curves calculator tool makes the calculations faster, and it displays the result in a fraction of seconds. How to Use the Area Between Two Curves Calculator?The procedure to use the area between the two curves calculator is as follows: Step 1: Enter the smaller function, larger function and the limit values in the given input fields Step 2: Now click the button “Calculate Area” to get the output Step 3: Finally, the area between the two curves will be displayed in the new window What is the Area Between Two Curves?The area between two curves can be determined by computing the difference between the definite integrals of two functions. In a two-dimensional geometry, the area is a quantity that expresses the region occupied by the two-dimensional figure. Two functions are required to find the area, say f(x) and g(x), and the integral limits from a to b (b should be greater than a) of the function, that represent the curve. Standard FormThe standard formula to calculate the area between two curves is given as follows: If P : y = f(x) and Q : y = g(x) and x1 and x2 are the two limits, then the formula is, Area Between Two Curves, \(\begin{array}{l}A = \int_{x_{1}}^{x_{2}}[f(x)-g(x)]\end{array} \) Frequently Asked Questions on Area Between Two CurvesThe area between the two curves can be calculated by taking absolute difference of the definite integrals between the two functions. If you're wondering how to calculate the area of any basic shape, you're in the right place - this area calculator will answer all your questions. Use our intuitive tool to choose from sixteen different shapes, and calculate their area in the blink of an eye. Whether you're looking for an area definition or, for example, the area of a rhombus formula, we've got you covered. Keep scrolling to read more or just play with our tool - you won't be disappointed! Simply speaking, area is the size of a surface. In other words, it may be defined as the space occupied by a flat shape. To understand the concept, it's usually helpful to think about the area as the amount of paint necessary to cover the surface. Look at the picture below – all the figures have the same area, 12 square units: There are many useful formulas to calculate the area of simple shapes. In the sections below, you'll find not only the well-known formulas for triangles, rectangles, and circles but also other shapes, such as parallelograms, kites, or annuli. We hope that after this explanation, you won't have any problems defining what an area in math is! Well, of course, it depends on the shape! Below you'll find formulas for all sixteen shapes featured in our area calculator. For the sake of clarity, we'll list the equations only - their images, explanations and derivations may be found in the separate paragraphs below (and also in tools dedicated to each specific shape). Are you ready? Here are the most important and useful area formulas for sixteen geometric shapes: Want to change the area unit? Simply click on the unit name, and a drop-down list will appear. Did you forget what's the square area formula? Then you're in the right place. The area of a square is the product of the length of its sides:
That's the most basic and most often used formula, although others also exist. For example, there are square area formulas that use the diagonal, perimeter, circumradius or inradius. Rectangle area formulaThe rectangle area formula is also a piece of cake - it's simply the multiplication of the rectangle sides:
Calculation of rectangle area is extremely useful in everyday situations: from building construction (estimating the tiles, decking, siding needed or finding the roof area) to decorating your flat (how much paint or wallpaper do I need?) to calculating how many people your cake can feed. Triangle area formulaThere are many different formulas for triangle area, depending on what is given and which laws or theorems are used. In this area calculator, we've implemented four of them: 1. Given base and height
2. Given two sides and the angle between them (SAS)
3. Given three sides (SSS) (This triangle area formula is called Heron's formula)
You can discover more in the Heron's formula calculator. 4. Given two angles and the side between them (ASA)
There is a special type of triangle, the right triangle. In that case, the base and the height are the two sides that form the right angle. Then, the area of a right triangle may be expressed as:
Circle area formulaThe circle area formula is one of the most well-known formulas:
In this calculator, we've implemented only that equation, but in our circle calculator you can calculate the area from two different formulas given:
Also, the circle area formula is handy in everyday life – like the serious dilemma of which pizza size to choose. Sector area formulaThe sector area formula may be found by taking a proportion of a circle. The area of the sector is proportional to its angle, so knowing the circle area formula, we can write that:
Angle conversion tells us that
so:
Ellipse area formulaTo find an ellipse area formula, first recall the formula for the area of a circle:
Trapezoid area formulaThe area of a trapezoid may be found according to the following formula:
Also, the trapezoid area formula may be expressed as:
Area of a parallelogram formulaWhether you want to calculate the area given base and height, sides and angle, or diagonals of a parallelogram and the angle between them, you are in the right place. In our tool, you'll find three formulas for the area of a parallelogram: 1. Base and height
2. Sides and an angle between them
3. Diagonals and an angle between them
Area of a rhombus formulaWe've implemented three useful formulas for the calculation of the area of a rhombus. You can find the area if you know the: 1. Side and height
2. Diagonals
3. Side and any angle, e.g., α
Area of a kite formulaTo calculate the area of a kite, two equations may be used, depending on what is known: 1. Area of a kite formula, given kite diagonals
2. Area of a kite formula, given two non-congruent side lengths and the angle between those two sides
Pentagon area formulaThe area of a pentagon can be calculated from the formula:
Check out our dedicated pentagon calculator, where other essential properties of a regular pentagon are provided: side, diagonal, height and perimeter, as well as the circumcircle and incircle radius. Area of a hexagon formulaThe basic formula for the area of a hexagon is:
So, where does the formula come from? You can think of a regular hexagon as the collection of six congruent equilateral triangles. To find the hexagon area, all we need to do is to find the area of one triangle and multiply it by six. The formula for a regular triangle area is equal to the squared side times the square root of 3 divided by 4:
Area of an octagon formulaTo find the octagon area, all you need to do is know the side length and the formula below:
The octagon area may also be calculated from:
A perimeter in octagon case is simply
So finally, we obtain the first equation:
Area of an annulus formulaAn annulus is a ring-shaped object – it's a region bounded by two concentric circles of different radii. Finding the area of an annulus formula is an easy task if you remember the circle area formula. Just have a look: an annulus area is a difference in the areas of the larger circle of radius R and the smaller one of radius r:
Area of a quadrilateral formulaThe quadrilateral formula this area calculator implements uses two given diagonals and the angle between them.
We can use any of two angles as we calculate their sine. Knowing that two adjacent angles are supplementary, we can state that If you're searching for other formulas for the area of a quadrilateral, check out our dedicated quadrilateral calculator, where you'll find Bretschneider's formula (given four sides and two opposite angles) and a formula that uses bimedians and the angle between them. Regular polygon area formulaThe formula for regular polygon area looks as follows:
where n is the number of sides, and a is the side length. Other equations exist, and they use, e.g., parameters such as the circumradius or perimeter. You can find those formulas in a dedicated paragraph of our polygon area calculator. If you're dealing with an irregular polygon, remember that you can always divide the shape into simpler figures, e.g., triangles. Just calculate the area of each of them and, at the end, sum them up. Decomposition of a polygon into a set of triangles is called polygon triangulation. FAQWhat quadrilateral has the largest area?For a given perimeter, the quadrilateral with the maximum area will always be a square. What shape has the largest area given perimeter?For a given perimeter, the closed figure with the maximum area is a circle. How do I calculate area of an irregular shape?To calculate the area of an irregular shape:
How do I calculate the area under a curve?To find the area under a curve over an interval, you have to compute the definite integral of the function describing this curve between the two points that correspond to the endpoints of the interval in question. How do you find the area of a shaded region calculator?Shaded Area Formula
To calculate the shaded area, square the diameter or length, then subtract the result of pi times the length over 2 squared.
What is the formula for calculating area?The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
What is the area under the curve calculator?Area Under the Curve Calculator is a free online tool that displays the area for the given curve function specified with the limits. BYJU'S online area under the curve calculator tool makes the calculation faster, and it displays the area under the curve function in a fraction of seconds.
How do you calculate the area of a plot?Answer ( 1 ). How to measure plot area?. Square plot Area = (length x length). Rectangular plot area = length x breadth.. Triangular plot area = Area = √(s(s-a)(s-b)(s-c)). Area of irregular polygon plot.. |