Math Problem Statement

What is the area of the pond's surface? Give your answer in m² to 1 d.p.

Solution

To find the area of the pond's surface, we can use the formula for the area of a circle:

A=πr2A = \pi r^2

In this case, the radius rr is given as 3.71 meters. Plugging this value into the formula:

A=π×(3.71)2A = \pi \times (3.71)^2 A=π×13.7643.24m2A = \pi \times 13.76 \approx 43.24 \, \text{m}^2

Rounding to 1 decimal place, the area of the pond's surface is approximately:

A43.2m2A \approx 43.2 \, \text{m}^2

Would you like more details on this, or do you have any other questions?

Here are five related questions for further understanding:

  1. How would the area change if the radius of the pond were doubled?
  2. What is the circumference of the pond?
  3. How do you calculate the area of a semicircle pond?
  4. How is the formula for the area of a circle derived?
  5. What would the area be if the radius were given in centimeters?

Tip: When calculating areas, ensure that all units are consistent, especially if given in different measurements (e.g., meters vs. centimeters).

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Circle

Formulas

Area of Circle: A = πr²

Theorems

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Suitable Grade Level

Grades 6-8