Area of Shaded Region Game (Circle in a Rectangle)

Area of Shaded Region Game (Circle in a Rectangle)
To find the area of shaded region formed by a rectangle with a circular hole ((Circle in a Rectangle)). We can use the Subtraction Method which is the area of the circle subtracted from the area of the larger rectangle. Scroll down the page for a more detailed explanation.
 
This game generates a large outer rectangle with a smaller circular “hole” cut out. You’ll need to calculate the total area of the remaining material. If you give a wrong answer, the game will give you the right answer.
 
Area of Shaded Region (Rectangle in a rectangle)
Area of Shaded Region (Circle in a rectangle)
Inscribed Area (Inscribed Circle in Square)
Concentric Area (Circle in a Circle)
 

Score: 0 / 0

Time: 00:00

Menu

Find the Shaded Area

Use 3.14 for π. Round to 2 decimal places.

Check Next Finish

Area Challenge!

Find the area of the shaded region.

Start Game

 

How to Play the Area of Shaded Region Game (Circle in a Rectangle)
In this game, you need to find the area of shaded region that consists of a rectangle with a circular hole. You may use the subtraction method.
Here’s how to play:

1. Start Game: Click start game.
   
2. Look at the figure: Find the area of the shaded region by subtracting the smaller rectangle from the larger rectangle.
3. Enter Your Answer: Type your answer for the area.
   
4. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: Click the Next Problem button (or press Enter again) for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
6. Restart Game Click “Restart Game” to restart the game.
    
   

The Area of Shaded Region (Circle in a Rectangle)
Steps:
The Subtraction Method
You use this method when the shaded area is a hole, a frame, or a leftover piece within a simple, larger figure.
This is often called the “Area of the Annulus” or “Area of the Frame” method.
Formula:Area_Shaded = Area_{Large Shape} - Area_{Unshaded Hole}
Example: Rectangle with a Hole
Imagine a large rectangle with a smaller circular hole cut out of the middle.
Find the Area of the Large Shape:
Large Rectangle: L × W

1. Find the Area of the Unshaded Hole:
   
2. Small Rectangle (Hole): πr²
   
3. Subtract: Area_Shaded = (L × W) - (πr²)
    
   

The video gives a clear, step-by-step approach to find the area of shaded region (Circle in a Square).

• Show Video

 

Check out our most popular games!

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.