Circumference & Area Game

Circumference & Area Game
The Circumference of a circle is the distance around it and its Area is the space it covers. The key to finding the area of a circle when given the circumference and vice versa is the Radius (r). Scroll down the page for a more detailed explanation.
 
In this game, you may select “Find Area from Circumference” or “Find Circumference from Area” or “Mixed Challenge”. Approximate π to 3.14 and round answers to two decimal places. If you give a wrong answer, the game will provide the correct answer.
 
Circumference & Area of a Circle
Area of a Circle
 

 

How to Play the Circumference & Area Game
In the game, you need to find the circumference or area of a circle.
Here’s how to play:

1. Choose your challenge: Select “Find Area from Circumference” or “Find Circumference from Area” or “Mixed Challenge”.
   
2. Find Area from Circumference: You will be given circumference of a circle. Find the area of the circle.
   
3. Find Circumference from Area: You will be given area of a circle. Find the circumference of the circle.
   
4. Enter Your Answer: Enter in the answer. Approximate π by 3.14 and round answers to two decimal places.
   
5. 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.
   
6. Get a New Problem: Click the “Next” button 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.
   
7. Back to Menu Click “Menu” to restart the game.
    
   

How to Find the Area when given the Circumference (C)
If you know the circumference, the first step is to use it to find the radius (r).

1. Find the Radius (r)
   Isolate r from the Circumference formula.
   C = 2πr
   \(r = \frac{C}{2\pi}\)
   
2. Calculate the Area (A)
   Plug the calculated radius into the Area formula.
   A = πr²
    
   

How to Find the Circumference when given the Area (A) If you know the area, the first step is to use it to find the radius (r).

1. Find the Radius (r)
   Isolate r from the Circumference formula.
   A = πr² \(r = \sqrt{\frac{A}{\pi}}\)
   
2. Calculate the Circumference (C)
   Plug the calculated radius into the Circumference formula.
   C = 2πr
   
    
   

The video gives a clear, step-by-step approach to find the area of a circle when given the circumference.

• Show Video

The video gives a clear, step-by-step approach to find the circumference of a circle when given the area.

• Show Video

 

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