Find the Shaded Area
Use 3.14 for π. The circle is inscribed. Round to 2 decimal places.
Inscribed Area!
Find the area of the shaded region.
Inscribed Area Game
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This Inscribed Area Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll learn how to find the area of shaded region.
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Inscribed Area Game
To find the area of a square with an inscribed circular hole, find the area of the larger shape (the square) and subtract the area of the smaller shape (the circle). Scroll down the page for a more detailed explanation.
This game will randomly provide either the square’s side length or the circle’s radius, and you’ll have to find the shaded area. 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
How to Play the Inscribed Area Game
In this game, you need to find the area of a square with an inscribed circular hole. You may use the subtraction method. Since the circle is inscribed, its diameter is the same as the side length of the square. The game will randomly provide either the square’s side length or the circle’s radius, and you’ll have to find the shaded area.
Here’s how to play:
- Start Game: Click start game.
- Look at the Figure: Find the area of the shaded region.
- Enter Your Answer: Type your answer for the area.
- 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.
- 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. - Restart Game Click “Restart Game” to restart the game.
Finding the Area of a Square with an Inscribed Circular Hole
This calculation relies on finding the area of the larger shape (the square) and subtracting the area of the smaller shape (the circle).
- Relate the Dimensions
When a circle is inscribed in a square, it means the circle touches all four sides of the square. This gives us a key relationship:
Side Length of Square (s) = Diameter of Circle (d)
Since the diameter is twice the radius (d = 2r)
Side Length of Square (s) = 2r - Calculate the Areas
You will need the following two fundamental area formulas:
Area of Square = s × s = s2
Area of circle = πr2 - Calculate the Final Area
The area of the remaining shape is found by subtracting the circle’s area from the square’s area
The video gives a clear, step-by-step approach to find the area of shaded region (square with inscribed circle).
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