What is the area of the Shaded Region?

Similarly , the base of the inner right angled triangle is given to be 12 cm and its height is 5 cm. In a given geometric figure if some part of the figure is coloured or shaded, then the area of that part of figure is said to be the area of the shaded region. There are three steps to find the area of the shaded region. Subtract the area of the inner currency converter calculator eur/chf region from the outer region. Let R be the radius of larger circle and r be the radius of smaller circle.

This method works for a scalene, isosceles, or equilateral triangle. 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 yards (yd2), or many other units of area measure. In such a case, we try to divide the figure into regular shapes as much as possible and then add the areas of those regular shapes. Area is calculated in square units which may be sq.cm, sq.m.

To find the area of the shaded region of a circle, we need to know the type of area that is shaded. The area of the shaded region is #1/3# of the area of the circle. Let R and r be the radius of larger circle and smaller circle respectively. Then subtract the area of the smaller triangle from the total area of the rectangle. We will learn how to find the Area of theshaded region of combined figures. See this article for further reference on how to calculate the area of a triangle.

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

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. Find the area of the shaded region in terms of pi for the figure given below. 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 “$2r$”. 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. This guide will provide you with good-quality material that will help you understand the concept of the area of the circle.

Formula for Area of Geometric Figures :

These lessons help Grade 7 students learn how to find the area of shaded region involving polygons and circles. Let’s see can trademax be trusted or is it another scam brokerage a few examples below to understand how to find the area of a shaded region in a square. This is a composite shape; therefore, we subdivide the diagram into shapes with area formulas.

Area of the Shaded Region Examples

• Here, the length of the given rectangle is 48 cm and the breadth is 22 cm.
• Then subtract the area of the smaller triangle from the total area of the rectangle.
• Similarly, a quarter circle is the fourth part of a complete circle.
• From the figure we can observe that the diameter of the semicircle and breadth of the rectangle are common.
• The area of the shaded part can occur in two ways in polygons.
• 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 “$2r$”.
• Try the free Mathway calculator andproblem solver below to practice various math topics.

The unit of area is generally square units; it may be square meters or square centimeters and so on. The area of the shaded region is basically the difference between the area of the complete figure and the area of the unshaded region. For finding the area of the figures, we generally use the basic formulas of the area of that particular figure. There is no specific formula to find the area of the shaded region of a figure as the amount of the shaded part may vary from question to question for the same geometric figure. Angle in a semicircle is right angle, diameter of the circle is hypotenuse. By drawing the horizontal line, we get the shapes square and rectangle.

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. So, its area will be the fourth part of the area of the complete circle. The area of the shaded region is in simple words the area of the key differences between machine learning and generative ai in marketing coloured portion in the given figure. So, the ways to find and the calculations required to find the area of the shaded region depend upon the shaded region in the given figure. We can observe that the outer right angled triangle has one more right angled triangle inside.

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

• Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations.
• The following diagram gives an example of how to find the area of a shaded region.
• 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.
• The area of a circle is pi (i.e. 3.14) times the square of the radius.
• We will learn how to find the Area of theshaded region of combined figures.
• With our example yard, the area of a rectangle is determined by multiplying its length times its width.

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.

What is the area of the Shaded Region?

In the example mentioned, the yard is a rectangle, and the swimming pool is a circle. Often, these problems and situations will deal with polygons or circles. We can observe that the outer rectangle has a semicircle inside it. From the figure we can observe that the diameter of the semicircle and breadth of the rectangle are common. Hopefully, this guide helped you develop the concept of how to find the area of the shaded region of the circle.

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.

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

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. 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.

Problems that ask for the area of shaded regions can include any combination of basic shapes, such as circles within triangles, triangles within squares, or squares within rectangles. 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. 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.