Math Problem Statement
A circle's radius is 15 kilometers. What is the circle's area? Use 3.14 or a calculator button for pi and provide an answer accurate to the nearest tenth.
Solution
To solve for the area of the circle, we use the formula:
Where:
- is approximately 3.14 (or you can use the calculator button for a more precise value),
- is the radius of the circle, which in this case is 15 kilometers.
Let me calculate the area for you using first.
I'll compute that next.The area of the circle is approximately 706.5 square kilometers when using .
Would you like more details or have any questions about this solution?
Here are five related questions you might find interesting:
- What happens to the area if the radius doubles?
- How would you calculate the circumference of the circle with the same radius?
- How does using a more precise value for (like 3.14159) affect the area calculation?
- What is the relationship between the radius and the area of a circle?
- How do you convert square kilometers to square meters?
Tip: When calculating circle areas or other geometric properties, always double-check the units to ensure consistency.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
Area = πr^2
Theorems
-
Suitable Grade Level
Grades 6-8