Math Problem Statement

The radius of a circle is 2 feet. What is the circle's area? Use π ≈ 3.14 and round your answer to the nearest hundredth.

Solution

To calculate the area of a circle, we use the formula:

A=πr2A = \pi r^2

Here:

  • r=2ftr = 2 \, \text{ft}
  • Approximation for π\pi is 3.143.14.

Step 1: Substitute the values into the formula.

A=3.14(2)2A = 3.14 \cdot (2)^2

Step 2: Simplify. A=3.144A = 3.14 \cdot 4

A=12.56square feetA = 12.56 \, \text{square feet}

Final Answer:

The area of the circle is 12.56 square feet.

Would you like a detailed explanation of this process? Here are some related questions you might explore:


  1. How does the formula for the area of a circle relate to its circumference?
  2. What is the difference between calculating the area and the circumference of a circle?
  3. Why is π\pi used in the area calculation?
  4. How can the result change if a more precise value of π\pi (like 3.14159) is used?
  5. How do units of measurement (like feet vs. inches) affect area calculations?

Tip: Always double-check that your radius is in the correct unit before substituting it into the formula!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle Area Calculation

Formulas

A = πr²

Theorems

-

Suitable Grade Level

Grades 6-8