Math Problem Statement
Find the area of a circle with a diameter of 14 feet, using π ≈ 3.14.
Solution
The problem is asking to find the area of a circle, and it provides the diameter as 14 feet. The formula to find the area of a circle is:
Where:
- is the area,
- is the radius,
- is approximately 3.14.
Step-by-step solution:
-
Find the radius: The radius is half of the diameter, so:
-
Apply the area formula:
-
Square the radius:
-
Multiply by :
So, the area of the circle is approximately 153.86 square feet.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the area of a circle with a diameter of 20 feet?
- How does changing the diameter affect the area of a circle?
- What is the difference between the area and the circumference of a circle?
- How do we find the circumference of a circle with a radius of 7 feet?
- What happens to the area if the radius is doubled?
Tip: Always double-check whether the given value is the radius or the diameter when using the area formula.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Radius and Diameter
Formulas
A = πr^2
Theorems
Area of a Circle
Suitable Grade Level
Grades 6-8