Transcription
Discovering GeometryChapter 6Lesson 1: 6.5, 6.6, 6.7Lesson 2: 6.1, 6.2, 6.3Review
Warm-Up Work with your tablemates to completethe 1st six definitions.– (Consult your 1.6/1.7 notes for help.) For each definition, make a sketch on thecircle provided in your notes.
Warm Up Review CongruentCircles: Two circles with the sameradius. ConcentricCircles: Circles with the samecenter.point on theA segment from onepoint on the circle.circle to another Chord:
Warm Up ReviewcenterThe distance from thepoint2to aon the circle.diametertimes the radius equals the . Radius: Diameter:A chord which passes through thecenterof the circle. Tangent:A line which touches the circle atpointonly one .
Review of Shapeshttp://www.youtube.com/watch?v GiMwcxaFsIY
Lesson 1: 6.5, 6.6, 6.7In this lesson we will answer What are the importantcircles?definitions for How do I find the circumferenceof a circle? What is an arc? How can I figure out how long an arc is?
More Definitionslineintersects aAthattwo pointscircle at . Secant: Central Angle:Angle whose vertex is thecenterofthe circle. Arc:pointsTwoon a circle andlinethepart of the circlebetweenthem.
Semicircle:An arc whose endpoints are theendpointsof the diameter. It180measures exactlydegrees. Minor Arc:An arc of a circle that isless thanthan a semicircle. Itmeasuresless than 180 degrees. Major Arc: An arc of a circle that isthan a semicircle. Itmore thanmore than 180 degrees.measures
PracticeChord:2. Radius:3. Diameter:4. Tangent:5. Secant:6. Central Angle:7. Arc:8. Semicircle:9. Minor Arc:10. Major Arc:1.EBAFPCD
MORE PracticeParts of a CircleChords, Tangents, and SecantsIdentify the appropriate segment. Make sure you use appropriate notation!
Circumference outside of the circle.Measuring the Formulas:C 2πrorC πdradius– where r is theanddiameterd is the .πExact circumference has in the answer. Approximate circumference is expressed as adecimal.
Using Circumference
Using Circumference
Circumference PracticeCircumference and Area of Circles Match the circumference to the correct radius Use 3.14 for π
Arc Length Conjecture The length of an arc equals circumferencetimes the measure of the central angle.divided by 360 Length of Arcarcarc2 r ord360360
Practice
Practice
Arc Length PracticeArc Length Calculate arc length. Round answers to the nearest hundredthsplace. (Two numbers after the decimalpoint!) Use 3.14 for π
Almost Finished Clear Your Calculator and Turn It Off– 2nd 7 1 2 then 2nd On Take out your agenda – copy down due dates– Quizzes– Tests Homework– Sections 6.5 – 6.7 (BOTH SIDES!) Do NOT pack up until you are told to do so!
12.11.2013 · Discovering Geometry Chapter 6 Lesson 1: 6.5, 6.6, 6.7 Lesson 2: 6.1, 6.2, 6.3 Review . Warm-Up Work with your tablemates to complete the 1st six definitions. –(Consult your 1.6/1.7 notes for help.) For each definition, make a sketch on the circle provided in your notes. Warm Up Review Congruent Circles: Two circles with the same _. Concentric Circles: Circles with the same _.
