Use 3.14 for π (pi) and round your answer to 2 decimal places.
Circle Area Challenge!
Choose your challenge:
Area of Circle Game
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This Area of Circle Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
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Area of Circle Game
The area is the perimeter of a circle. To calculate it, you only need one measurement: either the radius or the diameter. Both formulas involve the constant Pi (π), which is approximately 3.14. You can also select to find the radius/diameter given the area. Scroll down the page for a more detailed explanation.
In this game, you may select “Find Area of Circle” or “Find Diameter/Radius”. 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 of a Circle
Area of a Circle
Score: 0 / 0
How to Play the Area of Circle Game
In the game, you need to find the area, diameter, or radius of a circle.
Here’s how to play:
- Choose your challenge: Select “Find Area of Circle”, “Find Diameter/Radius” or “Mixed Questions”
- Find the Area of Circle: You will be given either the radius or diameter of a circle. Find the area of the circle.
- Find Diameter/Radius: You will be given the area. Find either the radius or diameter.
- Enter Your Answer: Enter in the answer. Approximate π by 3.14 and round answers to two decimal places.
- 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” 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. - Back to Menu Click “Menu” to restart the game.
How to Find the Area of Circle
- Finding Area of Circle Given the Radius
The area of a circle is the total space enclosed within its circumference. It is always measured in square units (e.g., cm2, m2, in2.
The Formula
The formula used to calculate the area (A) of a circle is:
A = πr2
Where:
A is the Area of the circle.
π is a constant, approximately equal to 3.14.
r is the radius of the circle (the distance from the center to any point on the edge).
- Finding Area of Circle Given the Diameter
If you are given the diameter then divide the diameter by 2 to get the radius.
Then use the above area formula.
The video gives a clear, step-by-step approach to calculate the area of a circle.
How to Find the Radius of a Circle
- Start with the Area formula:
\( A = \pi r^2 \) - Divide both sides by \( \pi \) (to isolate \( r^2 \)):
\( \frac{A}{\pi} = r^2 \) - Take the square root of both sides (to isolate \(r\) ):
\(r = \sqrt{\frac{A}{\pi}} \) - This is your new formula: The radius is the square root of the Area divided by Pi.
\(r = \sqrt{\frac{A}{\pi}} \)
How to Find the Diameter of a Circle
Once you have the radius, multiply it by 2 to find the diameter.
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