Math Problem Statement
Find the area of a circle with a radius of 11 inches, using π ≈ 3.14.
Solution
The problem is asking for the area of a circle, and the radius is given as 11 inches. The formula for the area of a circle is:
Where:
- is the radius (11 inches), and
- is approximated as 3.14.
Let's compute the area using this formula:
Thus, the area of the circle is approximately 379.94 square inches.
Would you like any further details or explanations on this problem?
Here are 5 follow-up questions for further practice:
- What is the area of a circle with a radius of 15 inches?
- How would the area change if the radius doubled?
- What is the circumference of this circle with a radius of 11 inches?
- If the radius was given as 5.5 inches, what would the area be?
- How would using a more precise value for (like ) affect the area calculation?
Tip: Remember that the area of a circle increases with the square of the radius, so small changes in the radius can lead to large changes in the area!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Circles
Formulas
A = πr²
Theorems
Area of a Circle
Suitable Grade Level
Grades 6-8