https://r2.erweima.ai/mathbot/image/17260894547168hwmzsik.jpg

The image shows a circle with a radius of \( r = 10 \, \text{cm} \), and the square containing it has a side length of 20 cm. The circle fits perfectly within the square, touching all four sides of the square. 

### Let's analyze the problem step by step:
- The radius of the circle is given as 10 cm, so the diameter of the circle is:
  \[
  \text{Diameter} = 2 \times r = 2 \times 10 \, \text{cm} = 20 \, \text{cm}
  \]
- The side length of the square is also 20 cm, meaning the circle fits exactly within the square, with the circle touching the square at four points (the middle of each side).

### Key questions you might want to explore:
1. What is the area of the circle?
2. What is the area of the square?
3. What is the area of the shaded region (area outside the circle but inside the square)?
4. What is the ratio of the area of the circle to the area of the square?
5. How would the areas change if the radius of the circle were different?

Would you like to explore these or any other specific calculations or explanations related to this diagram?

### Tip:
For any geometric figure, comparing the area of inscribed and circumscribed shapes is a great way to understand space utilization.

What are the areas of the circle and square in the diagram, and what is the area of the shaded region outside the circle but inside the square?

This problem focuses on calculating the areas of a circle with a radius of 10 cm inscribed within a square with a side length of 20 cm. It includes steps to find the shaded region outside the circle but inside the square using geometric formulas.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation