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10-1Circles and Circumference

10-1Circles and Circumference. You identified and used parts of parallelograms. Identify and use parts of a circle. Solve problems involving the circumference of a circle. Definition. center. A circle is the locus of points in a plane equidistant from a given point.

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10-1Circles and Circumference

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  1. 10-1Circles and Circumference You identified and used parts of parallelograms. • Identify and use parts of a circle. • Solve problems involving the circumference of a circle.

  2. Definition center A circle is the locus of points in a plane equidistant from a given point. That point is the center of the circle.

  3. Circle Parts radius diameter סּQ סּQ A circle is named by its center. A radiusis a segment from the center to any point on the circle. A diameter is a segment that contains the center of the circle and has endpoints on the circle.

  4. Definition A A chord is a line segment that joins two points on a circle. AB is a chord of סּD Where would you find the largest chord in any circle? B D

  5. p. 697

  6. A. Name the circle and identify a radius.

  7. B. Identify a chord and a diameter of the circle.

  8. A. B. C. D. A. Name the circle and identify a radius.

  9. A. B. C. D. B. Which segment is not a chord?

  10. By definition, the distance from the center of a circle to any point on the circle is always the same. All radii of a circle are congruent. A diameter (d) is made is made up of two radii. 1 raduis 1 raduis p. 698

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

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

  13. Exterior, Interior, Concentric exterior Concentric circles are two coplanar circles with the same center. interior

  14. p. 698

  15. 5

  16. A. 3 in. B. 5 in. C. 7 in. D. 9 in.

  17. 10-1 Assignment Day 1 p. 701, 10-21

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