Circle Word Problem Game

Circle Word Problem Quiz/Game
This game focuses on solving word problems involving circles, covering length, width, area, and perimeter. Scroll down the page for a more detailed explanation.

 

 

How to Play the Circle Explorer Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Work: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Problem” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

How to Solve Circle Word Problems
The Core Formulas
Component: Diameter (d)
Formula: d = 2r
Note: Double the radius.

Component: Radius (r)
Formula: r = d ÷ 2
Note: Half the diameter.

Component: Circumference (C)
Formula: C = π d or 2 π r
Note: The distance around the edge.

Component: Area (A)
Formula: A = π r²
Note: The space inside the circle.

Pro Tip: Use π ≈ 3.14 unless the problem asks for the “exact” answer (which means keep the π symbol in your result).

Identifying the “Goal” (Keyword Search) Word problems often use descriptive language instead of mathematical terms. Look for these keywords: Distance Around (Circumference) Keywords: Perimeter, edge, rim, boundary, revolution, rotation, “fencing around,” “ribbon around.” Example: “A bicycle wheel spins 10 times. How far did the bike travel?” (Solve for $C$, then multiply by 10).

Space Inside (Area) Keywords: Covering, surface, floor space, glass, rug, “painting a circle,” “grass in a park.” Example: “How much paint is needed to cover a circular table?” (Solve for $A$).

Center to Edge (Radius or Diameter) Keywords: Width (diameter), halfway across (radius), “the length of the clock hand” (radius).

The 4-Step Solving Method Step 1: Extract the Knowns Write down what the problem gives you. Does it give you r, d, C, or A? Step 2: Identify the Goal Write down what the problem wants. Do you need C or A? Step 3: The Bridge If the problem gives you Diameter but you need Area, you must find the Radius first. Path: d → r → A Step 4: Calculate & Label Perform the math and add the correct units. Circumference/Radius/Diameter use linear units: cm, in, ft, m. Area always uses square units: sq cm, in², sq ft.

Worked Example Problem: A circular fountain has a diameter of $12 \text{ feet}$. A gardener wants to build a small stone path around the edge. How long is the path? Known: d = 12 ft Goal: “Around the edge” = Circumference (C). Formula: C = π d

Math: C = 3.14 × 12 C = 37.68 ft Answer: The path is 37.68 feet long.
 

This video gives a clear, step-by-step approach to explain how to solve circle word problems.

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