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.

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. If we draw a chord or a secant line, then the blue area as shown in the figure below, is called the area of the segment. Afterwards, we can solve for the radius and central angle of the circle.

## How To Calculate Shaded Area?

To find the area of shaded portion, we have to subtract area of semicircles of diameter AB and CD from the area of square ABCD. To find the area of shaded region, we have to subtract area of semicircle with diameter CB from area of semicircle with diameter AB and add the area of semicircle of diameter AC. 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 grass in a rectangular yard needs to be fertilized, and there is a circular swimming pool at one end of the yard. The amount of fertilizer you need to purchase is based on the area needing to be fertilized.

- See this article for further reference on how to calculate the area of a triangle.
- 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 “$2r$”.
- So finding the area of the shaded region of the circle is relatively easy.
- We will learn how to find the Area of theshaded region of combined figures.
- The second way is to divide the shaded part into 3 rectangles.

You are asked to find area of shaded region which I assume is semicircular part. In the adjoining figure, PQR is an equailateral triangleof side 14 cm. Then subtract the area of the smaller triangle from the total area of the rectangle. 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.

## Find the Area of the Shaded Region – Simple and Easy Method

We can also find the area of the outer circle when we realize that its diameter is equal to the sum of the diameters of the two inner circles. The following diagram gives an example of how to find the area of a 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.

In today’s lesson, we will use the strategy of calculating the area of a large shape and the area of the smaller shapes it encloses to find the area of the shaded region between them. Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations. Let’s see a few examples below to understand how to find the area of a shaded region in a square. Let’s see a few examples below to understand how to find the area of the shaded region in a rectangle. Let’s see a few examples below to understand how to find the area of a shaded region in a triangle.

Often, these problems and situations will deal with polygons or circles. 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. To find the area of the shaded region of acombined geometrical shape, subtract the area of the smaller geometrical shapefrom the area of the larger geometrical shape. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape. The result is the area of only the shaded region, instead of the entire large shape. In this example, the area of the circle is subtracted from the area of the larger rectangle.

We are given the area and the radius of the sector, so we can find the central angle of the sector by using the formula of the area of the sector. We are given the area and central angle umarkets review of the sector, so we can find the radius of the sector by using the formula of the area of the sector. The area of the sector of a circle is basically the area of the arc of a circle.

## Sciencing_Icons_Addition & Subtraction Addition & Subtraction

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. 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.

The combination of two radii forms the sector of a circle while the arc is in between these two radii. 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. Also, in an equilateral triangle, the circumcentre Tcoincides with the centroid.

This guide will provide you with good-quality material that will help you understand the concept of the area of the circle. At the same time, we will discuss in detail how to find the area of the shaded region of the circle using numerical examples. To find the area of shaded portion, we have to subtract area of GEHF from area of rectangle ABCD. You can also find the area of the shaded region calculator a handy tool to verify the results calculated in the above example. 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 circleand an equilateral triangle.

Sometimes, you may be required to calculate the area of shaded regions. Usually, we would subtractthe area of a smaller inner shape from the area of a larger outer shape in order to find the areaof the shaded region. If any of the shapes is a composite shape then we would need to subdivide itinto shapes that we have area formulas, like the examples below. activtrades broker There are many common polygons and shapes that we might encounter in a high school math class and beyond. Some of the most common are triangles, rectangles, circles, and trapezoids. Many other more complicated shapes like hexagons or pentagons can be constructed from a combination of these shapes (e.g. a regular hexagon is six triangles put together).

The given combined shape is combination of atriangle and incircle. We will learn how to find the Area of theshaded region of combined figures. Then add the area fp markets review of all 3 rectangles to get the area of the shaded region. In this problem, it is easy to find the area of the two inner circles, since their radii are given.

These lessons help Grade 7 students learn how to find the area of shaded region involving polygons and circles. Or we can say that, to find the area of the shaded region, you have to subtract the area of the unshaded region from the total area of the entire polygon. So finding the area of the shaded region of the circle is relatively easy. All you have to do is distinguish which portion or region of the circle is shaded and apply the formulas accordingly to determine the area of the shaded region. 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 “$2r$”.