Math Problem Statement

Find the area of a circle with a diameter of 14 feet, using π ≈ 3.14.

Solution

The problem is asking to find the area of a circle, and it provides the diameter as 14 feet. The formula to find the area of a circle is:

A=πr2A = \pi r^2

Where:

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

Step-by-step solution:

  1. Find the radius: The radius rr is half of the diameter, so: r=142=7ftr = \frac{14}{2} = 7 \, \text{ft}

  2. Apply the area formula: A=πr2=3.14×(72)A = \pi r^2 = 3.14 \times (7^2)

  3. Square the radius: 72=497^2 = 49

  4. Multiply by π\pi: A=3.14×49=153.86ft2A = 3.14 \times 49 = 153.86 \, \text{ft}^2

So, the area of the circle is approximately 153.86 square feet.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the area of a circle with a diameter of 20 feet?
  2. How does changing the diameter affect the area of a circle?
  3. What is the difference between the area and the circumference of a circle?
  4. How do we find the circumference of a circle with a radius of 7 feet?
  5. What happens to the area if the radius is doubled?

Tip: Always double-check whether the given value is the radius or the diameter when using the area formula.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle
Radius and Diameter

Formulas

A = πr^2

Theorems

Area of a Circle

Suitable Grade Level

Grades 6-8