EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =

Slides:



Advertisements
Similar presentations
Pg 603.  An angle whose vertex is the center of the circle.
Advertisements

Special Segments in a Circle Find measures of segments that intersect in the interior of a circle. Find measures of segments that intersect in the exterior.
Agenda: 4/12/11 Warm - up Lesson 11-2: Arcs and Central Angles (p. 462) Vocabulary Examples Classwork Homework: Page 466 #’s 13 – 35 (all) Page 467.
Section 10 – 2 Find Arc Measures. Vocabulary Central Angle – An angle whose vertex is the center of the circle. Minor Arc – An arc whose measurement is.
You will find the central angle, the arc and the arc length of a circle.
EXAMPLE 2 Use perpendicular bisectors SOLUTION STEP 1 Label the bushes A, B, and C, as shown. Draw segments AB and BC. Three bushes are arranged in a garden.
Mrs. Rivas Practice 6-2 to 6-5 Worksheet. Mrs. Rivas.
Chapter 10 Properties of Circles
Arcs and Chords Warm Up 1. What percent of 60 is 18?
MM2G3 Students will understand properties of circles. MM2G3 d Justify measurements and relationships in circles using geometric and algebraic properties.
Section 12.2 – 12.3 Chords & Arcs.
Properties of arcs and chords. Warm Up 1. What percent of 60 is 18? 2. What number is 44% of 6? 3. Find mWVX 
and Objective: Find the measures of central angles and arcs.
8-2A Arcs and Central Angles What is a central angle? How are arcs defined? What is a major arc? What is a minor arc? What is the measure of a semicircle?
Warm-Up Exercises ANSWER x = 60; y = 60 ANSWER x = 35; y = Find x and y. 2.
EXAMPLE 1 Use inscribed angles a. m T mQRb. Find the indicated measure in P. SOLUTION M T = mRS = (48 o ) = 24 o a. mQR = 180 o mTQ = 180 o 100.
10.4 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Inscribed Angles and Polygons.
Circles. Points & Circle Relationships Inside the circle THE circle Outside the circle A C B E G F D.
Arcs and Chords. Example 1: Applying Congruent Angles, Arcs, and Chords TV  WS. Find mWS. 9n – 11 = 7n n = 22 n = 11 = 88°  chords have.
1. 3x=x y+5y+66= x+14x= a 2 +16=25 Note: A diameter is a chord but not all chords are diameters.
MM2G3 Students will understand properties of circles. MM2G3 a Understand and use properties of chords, tangents, and secants as an application of triangle.
Holt Geometry 11-2 Arcs and Chords Warm Up 1. What percent of 60 is 18? 2. What number is 44% of 6? 3. Find mWVX 
Arc Lengths By the end of today, you will know about arcs and their measures and be able to do operations involving them.
MM2G3a Understand and use properties of chords, tangents, and secants as an application of triangle similarity.
1. 3x=x y+5y+66= x+14x= a 2 +16=25 Note: A diameter is a chord but not all chords are diameters.
6.2 Find Arc Measures. Vocabulary A central angle of a circle is an angle whose vertex is the center of the circle. A semicircle is an arc with endpoints.
Geometry Section 10-2 Find Arc Measures.
10.2 Find Arc Measures Hubarth Geometry. The measures of a minor arc and a major arc depend on the central angle of the minor arc. Minor arc is less than.
C IRCLES (G.11 A /10.6) OBJ: SWB INTRODUCED TO BASIC TERMINOLOGY OF C IRCLES. SWBAT FIND THE MEASURES OF CENTRAL ANGLES, ARCS, ARC LENGTHS AND CIRCUMFERENCE.
10.3 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Apply Properties of Chords.
6.2 Find Arc Measures Measuring Arcs
Sec. 10 – 2 Circles and Arcs Objectives: 1) To find the measures of central angles and arcs. 2) To find circumferences and arc lengths.
Chapter 10 Properties of Circles Mrs. Pullo February 29, 2016.
10.3 Apply Properties of Chords Hubarth Geometry.
Circle.
1. DC Tell whether the segment is best described as a radius,
Tell whether the segment is best described as a radius,
Chapter 10: Properties of Circles
Find Arc measures 10.2.
1. Find x and y. ANSWER x = 60; y = ANSWER x = 35; y = 35.
Circle Basics.
10.2 Find Arc Measures Hubarth Geometry.
Find Arc Measures Warm Up Lesson Presentation Lesson Quiz.
1. Find x and y. ANSWER x = 60; y = ANSWER x = 35; y = 35.
1. DC Tell whether the segment is best described as a radius,
EXAMPLE 1 Use congruent chords to find an arc measure
Lesson 8-4: Arcs and Chords
Obj: Use angle measures to find arc measures
10.2 Finding Arc Measures.
Geometry Chapter 12 Circles
Central angle Minor Arc Major Arc
1. Find the x-intercept of the graph of y = x2 – 11x a. -3,-5
1. Find x and y. 2. ANSWER x = 60; y = 60 ANSWER x = 35; y = 35.
EXAMPLE 1 Find measures of arcs
Section 10.2 Arcs and Chords
Section 10.2 Arcs and Chords
Section 6.1 Circles and Related Segments and Angles
Arcs of a Circle.
EXAMPLE 2 Find lengths in circles in a coordinate plane
EXAMPLE 1 Use congruent chords to find an arc measure
Objectives Apply properties of arcs. Apply properties of chords.
EXAMPLE 3 Identify congruent arcs
Semicircle basics.
Lesson 10-3: Arcs and Chords
Sec. 12.2b Apply Properties of Chords p. 771
Section 6.1 Circles and Related Segments and Angles
Goal: The learner to use angle measures to find arc measures.
Geometry Section I can find the measure of arcs in a circle give a central angle and a diameter.
________________________________________________
Presentation transcript:

EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o = 250 o. b. – Find the measure of each arc of P, where RT is a diameter. c. RT is a diameter, so RST is a semicircle, and mRST = 180 o.

EXAMPLE 2 Find measures of arcs A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. Survey a. mAC SOLUTION a. mAC mAB =+ mBC = 29 o o = 137 o

EXAMPLE 2 Find measures of arcs b. mACD = mAC + mCD = 137 o + 83 o = 220 o A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. Survey SOLUTION b. mACD

EXAMPLE 2 Find measures of arcs mADC mAC = 360 o – c. = 360 o – 137 o = 223 o A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. Survey SOLUTION c. mADC

EXAMPLE 2 Find measures of arcs d. mEBD = 360 o – mED = 360 o – 61 o = 299 o d. mEBD A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. Survey SOLUTION

GUIDED PRACTICE for Examples 1 and 2 Identify the given arc as a major arc, minor arc, or semicircle, and find the measure of the arc.

TQ is a minor arc, so m TQ = 120 o. GUIDED PRACTICE for Examples 1 and 2 1. TQ SOLUTION. QRT2 SOLUTION QRT is a major arc, so m QRT= 240 o.

GUIDED PRACTICE for Examples 1 and 2. TQR3 SOLUTION TQR is a semicircle, so m TQR = 180 o.. QS4 SOLUTION QS is a minor arc, so m QS = 160 o.

GUIDED PRACTICE for Examples 1 and 2. TS5 SOLUTION TS is a minor arc, so m TS = 80 o.. RST6 SOLUTION RST is a semicircle, so m RST = 180 o.