Find the area of the following

Last Updated: May 23, Fact Checked. This article was co-authored by David Jia.

In this section we learn how to calculate the area enclosed between two curves , using definite integrals. The typical type of scenario we'll be interested in is shown here. The method is explained in the following series of tutorials. In this first tutorial we learn the method for finding the area enclosed between two curves using integration. In this second tutorial we look at a worked example , in which we're given the coordinates of the points of intersection of the two curves. This should give us a good idea of how the formula "works".

Find the area of the following

The following are calculators to evaluate the area of seven common shapes. The area of more complex shapes can usually be obtained by breaking them down into their aggregating simple shapes, and totaling their areas. This calculator is especially useful for estimating land area. Use the Triangle Calculator to determine all three edges of the triangle given other parameters. Area is a quantity that describes the size or extent of a two-dimensional figure or shape in a plane. It can be visualized as the amount of paint that would be necessary to cover a surface, and is the two-dimensional counterpart of the one-dimensional length of a curve, and three-dimensional volume of a solid. Provided below are equations for some of the most common simple shapes, and examples of how the area of each is calculated. A rectangle is a quadrilateral with four right angles. It is one of the simplest shapes, and calculating its area only requires that its length and width are known or can be measured. A quadrilateral by definition is a polygon that has four edges and vertices.

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This triangle area calculator can help in determining the triangle area. The basic triangle area formula needs to have a base and height given, but what if we don't have it? How can we calculate the area of a triangle with 3 sides only? The triangle area calculator is here for you. Give it a go! If you are still unsure how to find the area of a triangle, check the description below.

Find the area of the following

This area of a regular polygon calculator can help — as you can guess — in determining the area of a regular polygon. Type the number of sides, along with a known property, and the polygon area will appear in no time. If you're wondering how to find the area of a polygon or what is the area of a polygon formula, keep reading. If you want to calculate the area of any 3-sided or 4-sided polygon, check out the triangle area calculator and the quadrilateral area calculator. The most popular, and usually the most useful formula is the one that uses the number of sides n n n and the side length a a a :. If you want to find the area of a regular polygon, simply use the formulas described above. However, if the polygon is not regular which means it isn't equiangular and equilateral , you can:. Determine the polygon area given side lengths and some diagonals by splitting the polygon into triangles. Then find the area with the given three sides SSS equation you can learn the origin of this formula with our Heron's formula calculator.

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Semi-major Axes a. Unfortunately for the farmer, he does not consider the fact that the maintenance costs of a pool for one year alone could likely pay for his children to visit any pool or water theme park for years to come. While her love for triangles still persists, she eventually came to the realization that no matter how well-"triangled" she was, triangles alone cannot make the world go round, and that Santa's workshop could not plausibly balance on the North Pole, were the world a pyramid rather than a sphere. Not Helpful 15 Helpful Remember that the classification of a "simple" shape means that the shape is not self-intersecting. Briefly, the equation used in the calculator provided above is known as Heron's formula sometimes called Hero's formula , referring to the Hero of Alexandria, a Greek mathematician and engineer considered by some to be the greatest experimenter of ancient times. You'll need to start by finding the width and height of the shape in other words, by finding the measure of two adjoining sides. The area of a parallelogram is the base multiplied by the height. For us, let's say we have a radius of 14 inches and an angle of Two years have passed since the mysterious disappearance of the family pet, Platypus, and the farmer's daughter's fortuitous winning of a furry accessory through the school lottery that helped fill the void of the loss of their beloved pet. Download Article Explore this Article methods.

Area calculator to find the surface area of the following shapes - rectangle, triangle, circle, sector, ellipse, trapezoid, and parallelogram.

A parallelogram can be divided into a right triangle and a trapezoid, which can further be rearranged to form a rectangle, making the equation for calculating the area of a parallelogram essentially the same as that for calculating a rectangle. Not Helpful 15 Helpful This resulting number is the area of your sector, making our sector An ellipse is the generalized form of a circle, and is a curve in a plane where the sum of the distances from any point on the curve to each of its two focal points is constant, as shown in the figure below, where P is any point on the ellipse, and F 1 and F 2 are the two foci. Along with her lungs, her dream of becoming an astrophysicist was summarily ruptured, at least for the time being, and she was relegated to calculating the elliptical area necessary in her room to build a human sized model of Earth's near elliptical orbit around the sun, so she could gaze longingly at the sun in the center of her room and its personification of her heart, burning with passion, but surrounded by the cold vastness of space, with the Earth's distant rotation mockingly representing the distance between her dreams, and solid ground. On homework assignments, it will probably be pretty clear cut what those shapes should be, but in the real world, you might need to break an area up into a lot of shapes in order to get really accurate. Follow Us. The equation for calculating the area of an ellipse is similar to that for calculating the area of a circle, with the only difference being the use of two radii, rather than one since the foci are in the same location for a circle :. Use the Triangle Calculator to determine all three edges of the triangle given other parameters. Now, we'll multiply those numbers by each other, giving us 6 3x2. A triangle's area is equal to one-half its base multiplied by its height. More References The resulting number from the multiplication is the area of your shape, which is written as "square units". Break the shape down into sections.