Math Problem Statement
Find the area of a circle with a radius of 10 cm, using π = 3.14.
Solution
The question you're working on asks to find the area of a circle with a radius of 10 cm, using . The formula for the area of a circle is:
Where:
- is the radius
- is approximately 3.14
Given that cm, we can substitute this into the formula:
Thus, the correct answer is 314 cm².
Do you have any other questions or would you like further details?
Here are 5 related questions to deepen your understanding:
- How would the area change if the radius were doubled?
- What is the circumference of this circle?
- How would using a more precise value of (e.g., 3.14159) affect the answer?
- How do you calculate the area of a sector of a circle?
- What is the relationship between the radius and the diameter of a circle?
Tip: Always remember that the area grows proportionally to the square of the radius. So, even a small increase in radius results in a large increase in area!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Area Calculation
Formulas
Area of a circle: A = πr²
Theorems
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Suitable Grade Level
Grades 6-8