Math Problem Statement

Find the area of the circle. Use 3.14 for the value of π. Round your answer to the nearest tenth. The radius of the circle is 8 miles.

Solution

The problem is asking for the area of a circle, where the radius is given as 8 miles, and the value of π\pi is approximated as 3.14.

Formula for the area of a circle:

A=πr2A = \pi r^2 Where:

  • AA is the area,
  • rr is the radius,
  • π\pi is approximated as 3.14.

Substituting the values:

A=3.14×(8)2A = 3.14 \times (8)^2 A=3.14×64A = 3.14 \times 64 A=200.96A = 200.96

Rounding to the nearest tenth:

A201.0square milesA \approx 201.0 \, \text{square miles}

Thus, the area of the circle is approximately 201.0 square miles.

Would you like further details or have any other questions?

Here are 5 related questions:

  1. What would the area be if the radius was doubled?
  2. How does changing the value of π\pi to 3.1416 affect the result?
  3. How do you calculate the circumference of a circle with the same radius?
  4. What is the formula to find the radius if the area is given?
  5. How would you solve for the diameter given only the area?

Tip: Always double-check the units when solving area-related problems to ensure the result is in the correct form (e.g., square miles vs. miles).

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle

Formulas

A = πr²

Theorems

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Suitable Grade Level

Grades 6-8