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Concept

Concept. Identify Segments in a Circle. A. Name the circle and identify a radius. Example 1. Identify Segments in a Circle. B. Identify a chord and a diameter of the circle. Example 1. Concept. If RT = 21 cm, what is the length of QV ?. RT is a diameter and QV is a radius.

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Concept

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  1. Concept

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

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

  4. Concept

  5. If RT = 21 cm, what is the length of QV? RT is a diameter and QV is a radius. Find Radius and Diameter d = 2r Diameter Formula 21 = 2rd = 21 10.5 = r Simplify. Answer:QV = 10.5 cm Example 2

  6. Concept

  7. Find Measures in Intersecting Circles Example 3

  8. Since the diameter of is 16 units, WY = 8. Similarly, the diameter of is 22 units, so XZ = 11. WZ is part of radius XZ and part of radius WY. Find Measures in Intersecting Circles First, find ZY. WZ + ZY = WY 5 + ZY = 8 ZY = 3 Next, find XY. XZ + ZY = XY 11 + 3 = XY 14 = XY Example 3

  9. Find Measures in Intersecting Circles Answer:XY = 14 units Example 3

  10. Concept

  11. 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. Since the radius is 30 feet, and d = 2r, the diameter = 2(30) or 60 feet. C = dCircumference formula = (60) Substitution = 60 Simplify. ≈ 188.50 Use a calculator. Answer: The circumference of the crop circle is 60 feet or about 188.50 feet. Example 4

  12. Divide each side by . 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. Circumference Formula Substitution Use a calculator. Example 5

  13. Find Diameter and Radius Radius Formula Use a calculator. Answer:d ≈ 20.82 ft; r ≈ 10.41 ft Example 5

  14. Circumference of Circumscribed Polygon Read the Test Item You need to find the diameter of the circle and use it to calculate the circumference. Example 6

  15. Circumference of Circumscribed Polygon Solve the Test Item The radius of the circle is the same length as either leg of the triangle. The legs of the triangle have equal length. Call the length x. Pythagorean Theorem Substitution Simplify. Divide each side by 2. Take the square root of each side. Example 6

  16. Circumference of Circumscribed Polygon So the radius of the circle is 3. Circumference formula Substitution Answer: 6 units Example 6

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