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CHAPTER 10.1

CHAPTER 10.1. CIRCLES AND CIRCUMFERENCE. Circles. A circle is the set of all points in plane equidistant from a given point called the center of the circle. Concept. Example 1. Identify Segments in a Circle. A. Name the circle and identify a radius. Example 1.

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CHAPTER 10.1

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  1. CHAPTER 10.1 CIRCLES AND CIRCUMFERENCE

  2. Circles • A circle is the set of all points in plane equidistant from a given point called the center of the circle

  3. Concept

  4. Example 1 Identify Segments in a Circle A. Name the circle and identify a radius.

  5. Example 1 Identify Segments in a Circle B. Identify a chord and a diameter of the circle.

  6. A. B. C. D. Example 1 A. Name the circle and identify a radius.

  7. A. B. C. D. Example 1 B. Which segment is not a chord?

  8. Concept

  9. If RT = 21 cm, what is the length of QV? RT is a diameter and QV is a radius. Example 2 Find Radius and Diameter Answer:QV = 10.5 cm

  10. If QS = 26 cm, what is the length of RV? Example 2 A. 12 cm B. 13 cm C. 16 cm D. 26 cm

  11. Concept

  12. Example 3 Find Measures in Intersecting Circles

  13. Example 3 A. 3 in. B. 5 in. C. 7 in. D. 9 in.

  14. Concept

  15. Example 4 Find Circumference CROP CIRCLES A series of crop circles was discovered in Alberta, Canada, on September 4, 1999. The largest of the three circles had a radius of 30 feet. Find its circumference. Answer: The circumference of the crop circle is 60 feet or about 188.50 feet.

  16. Example 4 The Unisphere is a giant steel globe that sits in Flushing Meadows-Corona Park in Queens, New York. It has a diameter of 120 feet. Find its circumference. A. 377.0 feet B. 392.5 feet C. 408.3 feet D. 422.1 feet

  17. Example 5 Find Diameter and Radius Find the diameter and the radius of a circleto the nearest hundredth if the circumference of the circle is 65.4 feet.

  18. Example 5 Find the radius of a circle to the nearest hundredth if its circumference is 16.8 meters. A. 8.4 m B. 5.35 m C. 2.67 m D. 16.8 m

  19. Example 6 Circumference of Circumscribed Polygon

  20. A. B. C. D. Example 6

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