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

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Presentation transcript:

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

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

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

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

Each triangle is approximately ½ × base × radius r

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

So the total area is: 1 million × ½ × × r

So the total area is: π r 2

What is the area of this circle? 4