<p> Geometry Circles</p><p>Lesson 9-9: Circle applications</p><p>Objectives: </p><p> Students will apply the related theorems to solve a variety of proofs  Students will apply theorems to multistep circle problems</p><p>Procedure:  HW discussion  Do Now! Review  5 Practice Stations</p><p>Homework: Castle learning Circle practice test 9-9 and study sheet Name:______</p><p>Mixed Applications: Draw diagrams as needed!!!</p><p>1. </p><p>2. Which is an equation of the locus of points that are 3 units from the point (3, 2)?</p><p>1. (x − 3)2 + (y − 2)2 = 9 2. (x − 3)2 + (y − 2)2 = 3 3. (y − 2) = (x − 3) + 3 4. y = 3x − 7</p><p>3. Cerise waters her lawn with a sprinkler that sprays water in a circular pattern at a distance of 15 feet from the sprinkler. The sprinkler head rotates through an angle of 300°, as shown by the shaded area in the accompanying diagram. What is the area of the lawn, to the nearest square foot, that receives water from this sprinkler?</p><p>4. From the diagram below, find the length . DE = 15m Round your answer to the nearest hundredth.</p><p>Try these! Think about it!!!! The angle of a sector in a given circle is 40 degrees and the area of the sector is equal to 20 cm 2. Calculate the arc length of the sector. Name:______Geometry Lesson 9-9 Circles</p><p>Station #1: Angles Station #1 Cut out and match all the answers!</p><p>85 100 63</p><p>37 30 80</p><p>50 60 25 Name:______Geometry Lesson 9-9 Circles</p><p>Station #2: Segments</p><p>1)</p><p>AC is the diameter Radius =9 CB=24; AB=30</p><p>Is BC a tangent?</p><p>2)</p><p>3)</p><p>4) In the diagram below, is a tangent to circle O at point S, is a secant, , , and . What is the value of x? Name:______Geometry Lesson 9-9 Circles</p><p>Station #3: Proofs</p><p>1) Proof warm up question:</p><p>In the accompanying diagram of circle O, diameter is drawn, tangent is drawn to the circle at B, E is a point on the circle, and . Which of the following statements is true?</p><p>1. ΔABE is congruent to ΔCAB. 2. ΔABE is similar to ΔCAB. 3. ΔABE is not similar to ΔCAB. </p><p>2) Given: In circle O, Diameters LM,NP Prove: LN@ MP</p><p>1)In circle O, Diameters LM,NP 1) Given</p><p>2) LON  POM 2) </p><p>3) 3) All radii are congruent.</p><p>4) LON  POM 4)</p><p>5) 5) CPCTC</p><p>6) LN@ MP 6)</p><p>Name:______Geometry Lesson 9-9 Circles</p><p>Station #4: arc length and sectors</p><p>1) Find the circumference of a circle in which an arc contains 60o and has a length of 3 pi.</p><p>2) </p><p>3) Circle O represents a pattern for Pam’s hip-hop skirt. Find the area of the sector MON that she must cut out to the nearest hundredth. This is the only material she has left to finish a fancy embellished pocket. The pattern says she needs 16 sq. cm. Will Pam be able to embellish her skirt? Explain. Name:______Geometry Lesson 9-9 Circles</p><p>Station #5: Inscribed quads and polygons</p><p>1)</p><p>2)</p><p>Find each:</p><p> mDC mS FAB mS DCG</p><p> mS GDC mS DGC</p><p>3) Find the measure of each angle of the quadrilateral if AD is a diameter. mA  750 mAB = 300 mBC = 300</p><p>Find angles B, C and D.</p>