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:

Area=πr2\text{Area} = \pi r^2

Where:

  • π\pi is approximately 3.14 (or you can use the calculator button for a more precise value),
  • rr is the radius of the circle, which in this case is 15 kilometers.

Let me calculate the area for you using π=3.14\pi = 3.14 first.

Area=3.14×(15)2\text{Area} = 3.14 \times (15)^2

I'll compute that next.The area of the circle is approximately 706.5 square kilometers when using π=3.14\pi = 3.14.

Would you like more details or have any questions about this solution?

Here are five related questions you might find interesting:

  1. What happens to the area if the radius doubles?
  2. How would you calculate the circumference of the circle with the same radius?
  3. How does using a more precise value for π\pi (like 3.14159) affect the area calculation?
  4. What is the relationship between the radius and the area of a circle?
  5. 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

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Suitable Grade Level

Grades 6-8