Circle Geometry Insights: Diameter, Radius, and Area

Relationship between the diameter, radius, and area of a circle through visual illustrations and explanations. Learn about circumference calculations, approximating triangle areas, and determining the total area based on the radius. Understand the geometric properties of circles in a simplified manner.

• Geometry
• Circle
• Diameter
• Radius
• Area

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Uploaded on Mar 04, 2025 | 0 Views

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Presentation Transcript

1. Recap: This circle has a diameter of 1. What is its circumference? 1

2. Recap. This circle has a radius of r. What is its circumference? r

3. Approximating the Area of a Circle. r Imagine splitting a circle with radius r into 1 million triangles.

4. What can you tell me about the area of each triangle? r

5. Each triangle is approximately base radius r

6. The base of the triangle is approximately : Circumference 1 million Why?

7. So the total area is: 1 million r

8. So the total area is: r2

9. What is the area of this circle? 4