Math Problem Statement

Use β€‹πœ‹ β‰ˆ 3.14 and round your answer to the nearest hundredth The radius of a circle is 1 meter. What is the circle's area?

Solution

The area of a circle is calculated using the formula:

A=Ο€r2A = \pi r^2

Given that the radius r=1r = 1 meter and using Ο€β‰ˆ3.14\pi \approx 3.14, we substitute:

A=3.14Γ—(1)2A = 3.14 \times (1)^2

A=3.14A = 3.14

So, the area of the circle is 3.14 square meters.

Would you like a step-by-step breakdown?

Here are some related questions:

  1. What is the circumference of a circle with a radius of 1 meter?
  2. How does increasing the radius affect the area of a circle?
  3. If the radius were doubled, what would the new area be?
  4. How is the area formula derived from calculus?
  5. What is the difference between area and circumference in terms of growth?

Tip: The area of a circle increases quadratically with the radius, meaning if you double the radius, the area becomes four times larger!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle
Pi

Formulas

A = Ο€r^2

Theorems

Area of a Circle Formula

Suitable Grade Level

Grades 6-8