Math Problem Statement

Find the area of a circle with a radius of 11 inches, using π ≈ 3.14.

Solution

The problem is asking for the area of a circle, and the radius is given as 11 inches. The formula for the area AA of a circle is:

A=πr2A = \pi r^2

Where:

  • rr is the radius (11 inches), and
  • π\pi is approximated as 3.14.

Let's compute the area using this formula:

A=3.14×(11)2A = 3.14 \times (11)^2 A=3.14×121A = 3.14 \times 121 A=379.94in2A = 379.94 \, \text{in}^2

Thus, the area of the circle is approximately 379.94 square inches.

Would you like any further details or explanations on this problem?

Here are 5 follow-up questions for further practice:

  1. What is the area of a circle with a radius of 15 inches?
  2. How would the area change if the radius doubled?
  3. What is the circumference of this circle with a radius of 11 inches?
  4. If the radius was given as 5.5 inches, what would the area be?
  5. How would using a more precise value for π\pi (like π3.14159\pi \approx 3.14159) affect the area calculation?

Tip: Remember that the area of a circle increases with the square of the radius, so small changes in the radius can lead to large changes in the area!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Circles

Formulas

A = πr²

Theorems

Area of a Circle

Suitable Grade Level

Grades 6-8