Math Problem Statement

calculate area of an circle of radius = 1

Solution

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

A=πr2A = \pi r^2

where:

  • AA is the area,
  • rr is the radius of the circle,
  • π3.14159\pi \approx 3.14159.

Given that the radius r=1r = 1, we substitute that into the formula:

A=π×(1)2=π3.14159A = \pi \times (1)^2 = \pi \approx 3.14159

So, the area of the circle is approximately:

A3.14159 square units.A \approx 3.14159 \text{ square units}.

Would you like more details on how this formula is derived or have any further questions on circles?

Here are 5 related questions you might find interesting:

  1. How does the area of a circle change if the radius doubles?
  2. What is the formula for the circumference of a circle?
  3. How do you calculate the area of a sector of a circle?
  4. How is the area of a circle related to its circumference?
  5. How do you calculate the volume of a sphere with radius 1?

Tip: To get a quick estimate of π\pi, you can use 22/722/7, which is a common approximation.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle

Formulas

A = πr^2

Theorems

Formula for the area of a circle

Suitable Grade Level

Grades 5-7