Geometry | Unit 7 | Lesson 10: Angles, Arcs, and Radii | Practice Problems

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Tyler is confident that all circles are similar, but he cannot explain why this is true. Help Tyler explain why all circles are similar.

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Circle B is a dilation of circle A. What is the scale factor of dilation?

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What is the length of the highlighted arc in circle A?

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What is the length of the highlighted arc in circle B?

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What is the ratio of the arc lengths?

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How does the ratio of arc length compare to the scale factor?

• They are equal

• They are different

• The ratio is larger

• The scale factor is larger

• Undetermined

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A circle with a shaded sector is shown. What is the area of the shaded sector?