Math Problem Statement
The radius of a circle is 2 feet. What is the circle's area? Use π ≈ 3.14 and round your answer to the nearest hundredth.
Solution
To calculate the area of a circle, we use the formula:
Here:
- Approximation for is .
Step 1: Substitute the values into the formula.
Step 2: Simplify.
Final Answer:
The area of the circle is 12.56 square feet.
Would you like a detailed explanation of this process? Here are some related questions you might explore:
- How does the formula for the area of a circle relate to its circumference?
- What is the difference between calculating the area and the circumference of a circle?
- Why is used in the area calculation?
- How can the result change if a more precise value of (like 3.14159) is used?
- How do units of measurement (like feet vs. inches) affect area calculations?
Tip: Always double-check that your radius is in the correct unit before substituting it into the formula!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Area Calculation
Formulas
A = πr²
Theorems
-
Suitable Grade Level
Grades 6-8