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Arc lengths and Areas of Sectors. A. •. o. B. AOB = Sector / Juring. = Arc / Busur. Created by ﺠﻴﻄ for Mathlabsky.wordpress.com. Created by ﺠﻴﻄ for Mathlabsky.wordpress.com. SECTOR. ARC. Areas of sectors. Example : Area of circle = 40 cm 2. A. Area of sector AOB = ?.
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Arc lengths andAreas of Sectors A • o B AOB = Sector / Juring = Arc / Busur Created by ﺠﻴﻄ for Mathlabsky.wordpress.com Created by ﺠﻴﻄ for Mathlabsky.wordpress.com SECTOR ARC
Areas of sectors Example : Area of circle = 40 cm2 A Area of sector AOB = ? 1800 • AOB = 20 cm2 O B
B Example : Area of circle = 40 cm2 Area of sector AOB = ? AOB = 10 cm2 A O • B Area of sector AOB = ….? A a0 • O
FORMULA P • a0 O Q
Exercise: 1. Given area of circle 60 cm2 , find the area of sector POQ! P 600 • O Q 2. Find the area of sector KOL if radius = 7 cm! K • O 1200 L Click the sector for solve
1. A = 60 cm2 P 600 • O Q
2. r = 7 cm K • O 1200 L
B C O • b0 a0 D A
Exercise: AOB = 20 cm2 , COD = ….? C B O • 1200 800 A D
Arc lengths Example : Circumference of circle = 24 cm A Arc length AB = ? AB = 12 cm 1800 • O B
Example : Circumference of circle = 24 cm P Arc length PQ = ? PQ = 6 cm • O Q M N a0 • O
Exercise: Find arc length AB 1. Circumference of circle = 36 cm A 1000 • O B 2. Radius of circle = 7 cm 2400 A • O B Click the arc for solve
1. Circumference of circle = 36 cm A 1000 • O B
2. Radius of circle = 7 cm 2400 A • O B
C B O • b0 a0 A D
Example : Find arc length CD if arc length AB = 40 cm C B Let arc CD = x O • 1000 800 A D