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. 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 “$2r$”. Afterwards, we can solve for the radius and central angle of the circle.
Area of Shaded Region Calculator
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. Then add the area of all 3 rectangles to get the area of the shaded region. 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.
Area of the Shaded Region Examples
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. 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 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.
- By drawing the horizontal line, we get the shapes square and rectangle.
- The combination of two radii forms the sector of a circle while the arc is in between these two radii.
- 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.
- We can observe that the outer right angled triangle has one more right angled triangle inside.
- The area of the sector of a circle is basically the area of the arc of a 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.
What is the area of the Shaded Region?
- Let’s see a few examples below to understand how to find the area of a shaded region in a square.
- 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 of a triangle is simple one-half times base times height.
- 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.
- We can observe that the outer square has a circle inside it.
- 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.
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. Determine what basic shapes are represented in the problem. 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.
For example, you might want to emphasize a promotional period in sales data or highlight a significant change in trend. Let R and r be the radius of larger circle and smaller circle respectively. 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. See this article for further reference on how to calculate the area of a triangle.
Preparing Your Data for Shading
You can also find the area of the shaded region calculator a handy tool to verify the results calculated in the above example. 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. Calculate the area of the shaded region in the diagram below. 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.
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. 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 Forex trading tip a complete circle.
The shaded region can be located at the center of a polygon or the sides of the polygon. The shaded area is there, but it might need a little customization to https://www.forex-reviews.org/ make it perfect. You can adjust the color, transparency, and border to suit your graph’s style and ensure it complements your data rather than overshadowing it. Shaded areas can highlight a specific period or event, making it easier for viewers to focus on key parts of your data.
Calculate the area of the shaded region in the right triangle below. In summary, adding a vertical shaded area to your Excel graph can make a world of difference in how your data is perceived. By following the steps outlined here, you can create informative, visually appealing graphs that highlight the most important aspects of your data.
Firstly find the area Kraken Review of a smaller rectangle and then the area of the total rectangle. Follow the below steps and know the process to find out the Area of the Shaded Region. We have given clear details along with the solved examples below. Also, in an equilateral triangle, the circumcentre Tcoincides with the centroid. Here, the length of the given rectangle is 48 cm and the breadth is 22 cm.