Math Problem Statement

Area of circle

Solution

The area AA of a circle is given by the formula:

A=πr2A = \pi r^2

Where:

  • AA is the area,
  • rr is the radius of the circle,
  • π\pi (pi) is a constant approximately equal to 3.14159.

Example:

If the radius of a circle is 5 units, the area would be:

A=π×52=π×2578.54 square units.A = \pi \times 5^2 = \pi \times 25 \approx 78.54 \text{ square units}.

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Related Questions:

  1. How do you calculate the area of a sector of a circle?
  2. What is the relationship between the diameter and the area of a circle?
  3. How do you derive the formula for the area of a circle?
  4. Can you find the area of a circle if only the circumference is known?
  5. What is the difference between the area of a circle and the surface area of a sphere?

Tip: Remember that the diameter of a circle is twice the radius, so you can easily find the radius if the diameter is given.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle

Formulas

A = πr^2

Theorems

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Suitable Grade Level

Grades 6-8