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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. 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. 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. 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 this type of problem, the area of a small shape is eur to dkk exchange rates, euro 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. We can observe that the outer square has a circle inside it. From the figure we can see that the value of the side of the square is equal to the diameter of the given circle.

Working of Area of Shaded Region Calculator:

The area of the shaded region is the difference between two geometrical shapes which are combined together. 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. 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.

Area of the smaller rectangle

Calculate the area of the shaded region in the right triangle below. 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 formula to determine the area of the shaded segment of the circle can be written as radians or degrees.

How To Find The Area Of Shaded Region Of A Rectangle Within Another Rectangle?

When the dimensions of the shaded region can be taken out easily, we just have to use those in the formula to find the area of the region. Here, the base of the outer right angled triangle is 15 cm and its height is 10 cm. Therefore, the Area of the shaded region how fx brokers work behind the scenes of order execution is equal to 246 cm². The following diagram gives an example of how to find the area of a shaded region.

Common Area Formulae

• The given combined shape is combination of atriangle and incircle.
• 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.
• Let’s see a few examples below to understand how to find the area of the shaded region in a 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.
• 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.
• So finding the area of the shaded region of the circle is relatively easy.

To determine the area of the triangle, we have to calculate the length of the side OM by using the Pythagorean theorem. The area of the sector of a circle is basically the area of the arc of a circle. The combination of two radii forms the sector of a circle while the arc is in between these two radii. The second way is to divide the shaded part into 3 rectangles. Firstly find the area of a smaller rectangle and then the area of the total rectangle. Also, in an equilateral triangle, the circumcentre Tcoincides with the centroid.

• Afterwards, we can solve for the radius and central angle of the circle.
• The given combined shape is combination of a circleand an equilateral triangle.
• The unit of area is generally square units; it may be square meters or square centimeters and so on.
• Make your choice for the area unit and get your outcomes in that particular unit with a couple of taps.
• For instance, if a completely shaded square is given then the area of the shaded region is the area of that square.

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 sgx renminbi futures grow from strength to strength regular hexagon is six triangles put together). They can have a formula for area, but sometimes it is easier to find the shapes we already recognize within them.

At the same time, we will discuss in detail how to find the area of the shaded region of the circle using numerical examples. Then add the area of all 3 rectangles to get the area of the shaded region. The given combined shape is combination of a circleand an equilateral triangle. In the adjoining figure, PQR is an equailateral triangleof side 14 cm. The given combined shape is combination of atriangle 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.

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. 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. 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. In the above image, if we are asked to find the area of the shaded region; we will calculate the area of the outer right angled triangle and then subtract the area of the circle from it. The remaining value which we get will be the area of the shaded region.

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. You can also find the area of the shaded region calculator a handy tool to verify the results calculated in the above example.