Math Problem Statement

A group of Tibetan monks created a sand mandala at an art museum. The mandala was in the shape of a circle with a radius of 2.5 ft. What was the area of the sand mandala? Use 3.14 for π.

Solution

The image shows a problem where a sand mandala is created in the shape of a circle with a radius of 2.5 feet. The task is to find the area of the sand mandala using π3.14\pi \approx 3.14.

Formula for the area of a circle:

A=πr2A = \pi r^2 Where:

  • rr is the radius
  • π3.14\pi \approx 3.14

Given:

  • r=2.5ftr = 2.5 \, \text{ft}
  • π=3.14\pi = 3.14

Let's calculate the area: A=3.14×(2.5)2A = 3.14 \times (2.5)^2The area of the sand mandala is 19.625ft219.625 \, \text{ft}^2.

Would you like more details or have any questions? Here are some related problems you might find interesting:

  1. What is the circumference of the sand mandala using the same value for π\pi?
  2. If the radius was doubled, what would be the new area of the mandala?
  3. What is the diameter of the mandala based on the given radius?
  4. How much more area would a mandala have if the radius was increased by 1 foot?
  5. What would be the area if the radius was 3.5 feet instead?

Tip: The area of a circle grows quadratically with the radius, meaning doubling the radius increases the area by four times!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Area

Formulas

A = πr^2

Theorems

Area of a circle

Suitable Grade Level

Grades 6-8