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Editor’s note: This lesson has very limited material supported by CK-12. Please refer to the Geometry Access Reader for additional materials.

Learning Objectives

  • Use similarity to generalize the results.


We know that all circles are similar to each other.

Suppose a circle has a radius of units.

  • The scale factor of this circle (with radius ) and the circle with radius 1 is:


  • You know how a scale factor affects area measures:

If the scale factor is , then the area is times as much.

Reading Check:

1. Explain how we know that all circles are similar to each other.

(Hint: Think about similar measurements that circles may have.)

2. If the scale factor of a circle is , how does this relate to a circle’s area?

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8 , 9 , 10

Date Created:

Jan 13, 2015

Last Modified:

Jan 13, 2015
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