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.

Solved Examples :

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 Acciones en netflix of the shaded part can occur in two ways in polygons.

This nifty trick can help highlight trends, showcase significant events, or simply make your data more digestible at a glance. 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. The formula to determine the area of the shaded segment of the circle can be written as radians or degrees.

Rectangle A

Whether you’re presenting sales trends, project timelines, or marketing impacts, shading can help you tell a more compelling story. Excel is a staple in the toolkit of many professionals, from analysts to project managers. It offers a wide range of functionalities, but sometimes, you want to add a little flair to your data presentations. One way to emphasize specific data points is by adding a vertical shaded area in an Excel graph.

How To Find The Area Of A Shaded Region Of A Circle With An Inscribed Triangle?

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. The grass in a rectangular yard needs okcoin review 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. This question can be answered by learning to calculate the area of a shaded region.

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. With our example yard, the area of a rectangle is determined by multiplying its length times its width.

Area of Shaded Region Calculator

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.

More Plane Figures Questions

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.

• 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.
• 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.
• Let’s see a few examples below to understand how to find the area of a shaded region in a square.
• The area of a triangle is simple one-half times base times height.
• In this type of problem, the area of a small shape is subtracted from the area of a larger shape that surrounds it.

Then add the two areas together to get the total area of the shape. There are three steps to find the area of the shaded region. Subtract the area of the inner region from the outer region. Therefore, the Area of the shaded region is equal to 246 cm². Therefore, the Area of the shaded region is equal to 16cm². Angle in a semicircle is right angle, https://www.forex-reviews.org/ diameter of the circle is hypotenuse.

• Area is basically the amount of space occupied by a figure.
• The amount of fertilizer you need to purchase is based on the area needing to be fertilized.
• The result is the area of only the shaded region, instead of the entire large shape.
• Follow the below steps and know the process to find out the Area of the Shaded Region.
• 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.
• 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 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. 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. 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 remaining value which we get will be the area of the shaded region. The most advanced area of shaded region calculator helps you to get the shaded area of a square having a circle inside of it.

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.