Math Problem Statement

What is the area of this circle? It has a radius of 3.56m. give your answer to 1 decimal place

Solution

To find 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.

Given:

  • r=3.56mr = 3.56 \, \text{m}

Substituting the values:

A=π(3.56)2=π×12.67363.1416×12.6736=39.825m2A = \pi (3.56)^2 = \pi \times 12.6736 \approx 3.1416 \times 12.6736 = 39.825 \, \text{m}^2

Rounding to 1 decimal place:

A39.8m2A \approx 39.8 \, \text{m}^2

So, the area of the circle is approximately 39.8 m².

Would you like more details or further questions? Here are some related ones:

  1. How does the value of π\pi affect the calculation of the area?
  2. What would the area be if the radius was doubled?
  3. How can you find the radius if you're given the area of the circle?
  4. What other formulas are important when working with circles?
  5. How does changing the radius by a small amount affect the area of the circle?

Tip: Remember that the area of a circle increases exponentially as the radius increases. So, even small changes in the radius can significantly impact the area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle
Rounding to Decimal Places

Formulas

A = πr^2

Theorems

Area formula for a circle

Suitable Grade Level

Grades 6-8