Page 761 19) 136.3° 21) 23) 237.7° 25) 152° 27) 155° 29) 147° 31) 6.6 32) 10.4 33) False 34) 35) True 38) 136° 39) 108° 9/27/2019 3:49 PM 11-3: Area of.

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Presentation transcript:

Page 761 19) 136.3° 21) 23) 237.7° 25) 152° 27) 155° 29) 147° 31) 6.6 32) 10.4 33) False 34) 35) True 38) 136° 39) 108° 9/27/2019 3:49 PM 11-3: Area of a Segment

Happy Time 9/27/2019 3:49 PM 11-3: Area of a Segment

9/27/2019 3:49 PM 11-3: Area of a Segment

Section 11–3 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us Area of a Segment Section 11–3 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us 9/27/2019 3:49 PM 11-3: Area of a Segment

Review Find the area of sector LNM. 9/27/2019 3:49 PM 11-3: Area of a Segment

Definitions A segment of a circle is a region bounded by an arc and its chord. 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 1 Find the area of segment LNM and round to four decimal places, if necessary 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 1 Find the area of segment LNM and round to four decimal places, if necessary 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 1 Find the area of segment LNM and round to four decimal places, if necessary area of segment = area of sector LNM – area of ∆LNM 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 2 Find the area of segment LNM and round to four decimal places, if necessary 9/27/2019 3:49 PM 11-3: Area of a Segment

Your Turn Find the area of the shaded region. 9/27/2019 3:49 PM 11-3: Area of a Segment

Section 11-4 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us Inscribed Angles Section 11-4 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us 9/27/2019 3:49 PM 11-3: Area of a Segment

Definitions An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. An intercepted arc consists of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them. A chord or arc subtends an angle if its endpoints lie on the sides of the angle. 9/27/2019 3:49 PM 11-4: Inscribed Angles

Theorem 1 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 1 Find the measurement of 𝒎∠𝑷𝑹𝑼 9/27/2019 3:49 PM 11-3: Area of a Segment

Your Turn Find the measurement of 𝒎 𝑨𝑫𝑪 9/27/2019 3:49 PM 11-3: Area of a Segment

Theorem 2 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 2 Solve for a. mWZY = 90 5a + 20 = 90 5a = 70 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 3 Find mEDF. 2x + 3 = 75 – 2x 4x = 72 x = 18 9/27/2019 3:49 PM 11-3: Area of a Segment

Theorem 3 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 4 mG + mJ = 180 Find the angle measures of GHJK. 3b + 25 + 6b + 20 = 180 9b + 45 = 180 9b = 135 b = 15 9/27/2019 3:49 PM 11-3: Area of a Segment

Example 4 Find the angle measures of GHJK. mG = 3(15) + 25 = 70 mJ = 6(15) + 20 = 110 mK = 10(15) – 69 = 81 mH + mK = 180 mH + 81 = 180 mH = 99 9/27/2019 3:49 PM 11-3: Area of a Segment

Your Turn Find the angle measures of JKLM. 9/27/2019 3:49 PM 11-3: Area of a Segment

Assignment Page 768: 16-18 all Page 776: 12-27 all 9/27/2019 3:49 PM 11-3: Area of a Segment