At the same time, we will discuss in detail how to find the area of the shaded region of the circle using numerical examples. Enter Diameter or Length of a Square or Circle & select output unit to get the shaded region area through this calculator. The given combined shape is combination of a circle

and an equilateral triangle.

Sometimes, you may be required to calculate the area of shaded regions. Usually, we would subtract

the area of a smaller inner shape from the area of a larger outer shape in order to find the area

of the shaded region. If any of the shapes is a composite shape then we would need to subdivide it

into shapes that we have area formulas, like the examples below. The Area of the Shaded Region Calculator is a specialized tool designed to compute the area of a shaded region formed by overlapping geometric shapes, such as circles and squares. By simply inputting the diameter or length of the shapes involved, the calculator swiftly generates the area of the shaded region, saving time and effort in manual calculations. There are many common polygons and shapes that we might encounter in a high school math class and beyond.

- In the example mentioned, the yard is a rectangle, and the swimming pool is a circle.
- The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon.
- This topic will come in handy during times like these.

With our example yard, the area of a rectangle is determined by multiplying its length times its width. The area of a circle is pi (i.e. 3.14) times the square of the radius. Hopefully, this guide helped you develop the concept of how to find the area of the shaded region of the circle. As you saw in the section on finding the area of the segment of a circle, multiple geometrical figures presented as a whole is a problem.

Our area of shaded region calculator helps you to determine the area of a shaded region of a square. It quickly determines the shaded area regardless of its shape and complexity on a coordinate plane. The general rule to find the shaded area of any shape would be to subtract the area of the more significant portion from https://g-markets.net/ the area of the smaller portion of the given geometrical shape. Still, in the case of a circle, the shaded area of the circle can be an arc or a segment, and the calculation is different for both cases. These lessons help Grade 7 students learn how to find the area of shaded region involving polygons and circles.

By subtracting the area of the smaller geometrical shape from the area of the larger geometrical shape, we will get the area of the shaded region. Or subtract the area of the unshaded region from the area of the entire region that is also called an area of the shaded region. The most advanced area of shaded region calculator helps you to get the shaded area of a square having a circle inside of it. Make your choice for the area unit and get your outcomes in that particular unit with a couple of taps.

The amount of fertilizer you need to purchase is based on the area needing to be fertilized. This question can be answered by learning to calculate the area of a shaded region. In this type of problem, the area of a small shape is subtracted from the area of a larger shape that surrounds it. The area outside the small shape is shaded to indicate the area of interest. Try the free Mathway calculator and

problem solver below to practice various math topics. Try the given examples, or type in your own

problem and check your answer with the step-by-step explanations.

## How To Calculate Shaded Area?

The area of the circular shaded region can also be determined if we are only given the diameter of the circle by replacing “$r$” with “$2r$”. The calculation required to determine the area of a segment of a circle is a bit tricky, as you need to have a good grasp of finding the areas of a triangle. The picture in the previous section shows that we have a sector and a triangle. This guide will provide you with good-quality material that will help you understand the concept of the area of the circle.

## How to Calculate the Area of a Shape

Two circles, with radii 2 and 1 respectively, are externally tangent (that is, they intersect at exactly one point). With the area of shaded region calculator, you can quickly and easily calculate the area of any shaded region. Examine an example to illustrate the method for determining the area of the shaded region within a circle. The area of the shaded region is most often seen in typical geometry questions. Such questions always have a minimum of two shapes, for which you need to find the area and find the shaded region by subtracting the smaller area from the bigger area. The area of the circle enclosed in a segment or the shaded region inside the segment is known as the area of the segment of a circle.

## What is area of shaded region?

The combination of two radii forms the sector of a circle while the arc is in between these two radii. You are asked to find area of shaded region which I assume is semicircular part. Also, in an equilateral triangle, the circumcentre T

coincides with the centroid. The second way is to divide the shaded part into 3 rectangles. Then subtract the area of the smaller triangle from the total area of the rectangle. Follow the below steps and know the process to find out the Area of the Shaded Region.

Check the units of the final answer to make sure they are square units, indicating the correct units for area. That is square meters (m2), square feet (ft2), square modern forex indicators yards (yd2), or many other units of area measure. We are given the arc length of the circle and an arc length is a fraction/part of the circumference of the circle.

We have given clear details along with the solved examples below. Our goal is to make science relevant and fun for everyone. Whether you need help solving quadratic equations, inspiration for the upcoming science fair or the latest update on a major storm, Sciencing is here to help. See this article for further reference on how to calculate the area of a triangle. This method works for a scalene, isosceles, or equilateral triangle.

The formula to determine the area of the shaded segment of the circle can be written as radians or degrees. To find the area of the shaded region of a circle, we need to know the type of area that is shaded. Since figure is not given, assume drawing a rectangle and label it from left top to right top as A and B. Similarly label it as C and D from bottom left to right. Draw a semicircle starting from C to D inside the rectangle. In the adjoining figure, PQR is an equailateral triangle

of side 14 cm.

Our usual strategy when presented with complex geometric shapes is to partition them into simpler shapes whose areas are given by formulas we know. Sometimes we are presented with a geometry problem that requires us to find the area of an irregular shape which can’t easily be partitioned into simple shapes. Suppose, that the length of the square is about 45cm, so find the area of the shaded region. Calculate the area of the shaded region in the right triangle below.

As stated before, the area of the shaded region is calculated by taking the difference between the area of an entire polygon and the area of the unshaded region. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon. The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. We can conclude that calculating the area of the shaded region depends upon the type or part of the circle that is shaded. We can calculate the area of a shaded circular portion inside a circle by subtracting the area of the bigger/larger circle from the area of the smaller circle.

The given combined shape is combination of a

triangle and incircle. It is also helpful to realize that as a square is a special type of rectangle, it uses the same formula to find the area of a square. The area of a triangle is simple one-half times base times height. By Developing 100+ online Calculators and Converters for Math Students, Engineers, Scientists and Financial Experts, calculatored.com is one of the best free calculators website. Calculate the shaded area of the square below if the side length of the hexagon is 6 cm. The side length of the four unshaded small squares is 4 cm each.