2. Date: 11.1 Notes: Circles and Circumference Lesson Objective: Identify and use parts of circles CCSS: G.CO.1, G.C.1 You will need: ruler, colored pens, calculator Real-World App: What is the circumference of the helipad? Lesson 4 This is Jeopardy!!!: This is used in aviation to locate aircraft.

3. The Rules of Jeopardy!: 1.Put your name on the paper. 2.Answer in the form “What is …”. 3.Place your answer in the bucket before the answer is revealed. 4.If your answer is selected, write Jeopardy in the Notes section of that day for extra credit. 5.Have Mrs. Ross sign it off during stamping.

4. Lesson 1: The Anatomy of a Circle Diameter, DB: A chord that passes through the center of a circle. d = 2r Radius, PC: A segment with endpoints at the center and on the circle. r = ½d Diameter Radius P

5. Lesson 1: The Anatomy of a Circle Chord, AB: A segment whose endpoints lie ON the circle. Secant, line l : From the Latin word secare - “to cut up”; a line that intersects a circle at 2 points. A B Diameter l Radius P

6. Lesson 1: The Anatomy of a Circle Tangent, line m: From the Latin word tan­ gere - “to touch”; a line in the same plane as a circle that intersects the circle at exactly 1 point. Diameter Radius P D

7. Lesson 1: The Anatomy of a Circle Point of Tangency, C: The point where the tangent and the circle intersect. Diameter Radius P D

8. Lesson 2: Identifying Segments in a Circle A.Name the following: 1.the circle 2.a radius 3.a diameter 4.a chord 5.a secant 6.a tangent 7.a point of tangency.

9. Lesson 2: Identifying Segments in a Circle B.If ZT = 15’, what is the radius of the circle? C.If UX = 11 m, what is VX? What is the diameter?

10. Lesson 3: Circle Pairs

11. Lesson 3: Circle Pairs

12. Lesson 3: Circle Pairs

13. Lesson 3: Circle Pairs The diameter of S is 30 units, the diameter of R is 20 units, and DS = 9 units. Find RC.

14. Lesson 4: Circumference Circumference: The measure around a circle; C = 2πr or C = πd where r = radius, d = diameter, and π = pi and approxi- mately equals 3.14.

15. Lesson 4: Circumference Find the circumference of the helipad in terms of pi and rounded to the hundredths.

16. Lesson 5: Finding Diameter and Radius A circular pool has a circumference of 56.5’. What is the diameter and radius?

17. Lesson 6: Circumscribed Polygons A polygon is inscribed in a circle if all of its vertices lie on the circle. A circle is circumscribed about a polygon if it contains all the vertices of the polygon. Quadrilateral LMNP is inscribed in K. Circle K is circum- scribed about quad- rilateral LMNP.

18. Lesson 6: Circumscribed Polygons If the tennis court is inscribed in the helipad, find the dimensions of the court if the length is twice the width.

19. 11.1: Do I Get It? Yes or No 1.Name the following: a.the circle b.a radius c.a diameter d.a chord e.a secant f.a tangent g.a point of tangency.

20. 11.1: Do I Get It? Yes or No 2.If LN = 26.5 cm what is the radius? 3.If MP = 8”, what is the diameter? 4.The diameter of S is 30 units, the diameter of R is 20 units, and DS = 9 units. Find CD.

21. 11.1: Do I Get It? Continued Find the circumference for #5 and #6 in terms of π. 5.r = 2.5 cm6.d = 16’ 7.Find the diameter and radius of a circle if the circumference is 106.4 mm. 8.A square with side length of 9” is inscribed in J. Find the exact circumference of J.