Area of the Shaded Region Shaded Areas Area of Combined Figures

Area is the number of square units that cover a two-dimensional region, without any gaps or overlaps. Find the area of the shaded region(s) of each figure. Is the area of Figure A greater than, less than, or equal to the area of the shaded region in Figure B? Area is calculated in square units which may be sq.cm, sq.m. The area of the shaded region is in simple words the area of the coloured portion in the given figure.

The area of the shaded region is #1/3# of the area of the circle. 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. To find the area of the shaded region of a circle, we need to know the type of area that is shaded. Some examples of two-dimensional regions are inside a circle or inside a polygon. Some examples of three-dimensional regions are the inside of a cube or the inside of a sphere.

• The shaded region can be located at the center of a polygon or the sides of the polygon.
• The remaining value which we get will be the area of the shaded region.
• See this article for further reference on how to calculate the area of a triangle.
• The perimeter of every polygon is the sum of the measure of its sides.

Afterwards, we can solve for the radius and central angle of the circle. This guide umarkets 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. The ways of finding the area of the shaded region may depend upon the shaded region given.

Common Area Formulae

Sometimes either or both of the shapes represented are too complicated to use basic area equations, such as an L-shape. In this case, break the shape down even further into recognizable shapes. For example, an L-shape could be broken down into two rectangles. Then add the two areas together to get the total area of the shape.

Find the Area of the Shaded Region of a Circle: Clear Examples

Calculate the shaded area of the square below if the side length of the hexagon is 6 cm.

How to find the area of a shaded region in a triangle?

Noah said that both plots of land have the same area. Compose means “put together.” We use the word compose to describe putting more than one figure together to make a new shape. Let’s decompose and rearrange shapes to find their areas. The semicircle is generally half of the circle, so its area will be half of the complete circle. Similarly, a quarter circle is the fourth part of a complete circle.

The sum of a triangle’s subsequent interior and exterior angles is supplementary. Some underlying principles, for instance, Pythagoras’ theorem and trigonometry, rely on triangle properties. Triangles are defined according to their angles and sides. To determine the area of the triangle, we have to calculate the length of the side OM by using the Pythagorean theorem. 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 of the sector, so we can find the radius of the sector by using the formula of the area of the sector.

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. This is a composite shape; therefore, we subdivide the diagram into shapes with area formulas. 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.

Heron’s Formula to Calculate the Area of a Triangle

We can observe that the outer right angled triangle has one more right angled triangle inside. Similarly , the base of the inner right angled a review of “financial modeling” triangle is given to be 12 cm and its height is 5 cm. So, the area of the shaded or coloured region in a figure is equal to the difference between the area of the entire figure and the area of the part that is not coloured or not shaded.

How To Find the Area of a Shaded Triangle

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. Still, in the case of a circle, the shaded area of the circle can be an arc or a segment, and fortfs review the calculation is different for both cases. We can observe that the outer rectangle has a semicircle inside it.