Math Problem Statement
Find the area of a circle with a diameter of 20 feet using π = 3.14.
Solution
The problem asks to find the area of a circle with a diameter of 20 feet, using .
The formula for the area of a circle is: where is the radius. Since the diameter is given as 20 feet, the radius is half of the diameter:
Now, we can calculate the area:
So, the area of the circle is 314 square feet.
Would you like more details or have any questions about this solution?
Here are 5 related questions you might find interesting:
- How would the area change if the diameter were doubled?
- What is the circumference of this circle?
- How can we calculate the volume if this circle was part of a sphere?
- What happens to the area if is approximated as 3.1416 instead of 3.14?
- Can you derive the area formula from the definition of ?
Tip: Always remember that the radius is half of the diameter, which is key in many circle-related problems!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Area
Formulas
A = πr²
Theorems
Area of a Circle
Suitable Grade Level
Grades 6-8