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. In the case of a rectangle, the length typically refers to the longer two edges of the quadrilateral, while the width refers to the shorter of the two edges. When the length and width of a rectangle are equal, the shape is a special case of a rectangle, called a square. The equation for calculating the area of a rectangle is as follows:. Imagine a farmer trying to sell a piece of land that happens to be perfectly rectangular. Because he owns some cows that he did not want frolicking freely, he fenced the piece of land and knew the exact length and width of each edge.

The major and minor axes refer to the diameters rather than radii of the ellipse. Include your email address to get a message when this question is answered.

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Use this area calculator to easily calculate the area of common bodies like a square, rectangle, triangle, circle, parallelogram, trapezoid, ellipse, regular octagon, and sector of a circle. Formulas and explanation on finding the area of any shape are below. Each geometrical figure has a different formula for calculating its area, and different required measurements that need to be known. See below for details on each individual one this area calculator supports, including the formula used. When taking measurements or reading plans, make sure all measurements are in the same units, or convert them to the same unit to get a valid result. The result is always a squared unit, e. Area calculations have applications in construction and home decoration e. The formula for the area of a square is side 2 , as seen in the figure below:.

Find the area of the following

Area calculator to find the surface area of the following shapes - rectangle, triangle, circle, sector, ellipse, trapezoid, and parallelogram. This calculator allows you to find the surface area of the most common shapes — rectangle, triangle, trapezoid, circle, sector, ellipse, and parallelogram. Since area describes the size of a surface, this calculator can be used as a land area calculator.

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Length l. Multiply that value by the height. 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. A quadrilateral by definition is a polygon that has four edges and vertices. A trapezoid is a simple convex quadrilateral that has at least one pair of parallel sides. Thanks Helpful 1 Not Helpful 2. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. Multiply the two radii. Being a doting father, the farmer acquiesces to his daughter's request and proceeds to plan the construction of his triangular pool. The formula is as follows:. It is one of the simplest shapes, and calculating its area only requires that its length and width are known or can be measured. All Categories. Find the radius. How to.

Use this calculator to easily calculate the area of a triangle by the different possible pieces of information. The formula for the area of a triangle is side x height , as shown in the graph below:.

So for our 5x6x7 trapezoid, the area is 36 square cm. Base b. For us, that means our ellipse is 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. Even more unfortunately for the farmer, his 7-year-old daughter who has recently traveled to Egypt vicariously through Dora the Explorer, has fallen in love with triangles, and insists that the pool not only be triangular in shape, but also that the measurements must only include the number 7, to represent her age and immortalize this point of her life in the form of a triangular pool. Featured Articles How to. All Categories. You can also find this by taking the diameter, or the measurement of the width of the circle, and dividing it in half. Alana Armor Jan 18, There are many equations for calculating the area of a triangle based on what information is available. B, the farmer's daughter still has difficulty accepting the reality of curved surfaces. 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.