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A 60⁰ 0 Example 1: A radius of 5 cm sweeps through an angle of 60°and a sector area AOB. Find a) the length of arc AB; b) the area of sector AOB. B an angle of 8 radians sweeps out a sector of Area =

A 60⁰ 0 Example 1: A radius of 5 cm sweeps through an angle of 60°and a sector area AOB. Find a) the length of arc AB; b) the area of sector AOB. B an angle of 8 radians sweeps out a sector of Area =

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.CR: Chapter Review
Problem 3CC
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B Example 1: A radius of 5 cm sweeps through an angle of 60°and a sector area AOB. Find a) the length of arc AB; b) the area of sector AOB. 0 10 cm O A 0 Example 2: A sector has its arc length radius is 5cm. 60⁰ B 30⁰ 0 Ө an angle of 8 radians sweeps out a sector of Example 3: Find the area of the shaded segment. Area = 38 = 14.5cm. Find the area of the sector if
Transcribed Image Text:B Example 1: A radius of 5 cm sweeps through an angle of 60°and a sector area AOB. Find a) the length of arc AB; b) the area of sector AOB. 0 10 cm O A 0 Example 2: A sector has its arc length radius is 5cm. 60⁰ B 30⁰ 0 Ө an angle of 8 radians sweeps out a sector of Example 3: Find the area of the shaded segment. Area = 38 = 14.5cm. Find the area of the sector if
Exercise on Radian Measure: 1. Express these angles in radians using . (e.g. 25° 5 -T 36 = (e.g. 25° = 25 180 π = a) 35° b) 215° c) 54° d) 540⁰ 2. Write your answers in question 1 in radians (no π) 25 180 π = 0.318 π = 0.318 x 3.14159 = 0.436 ) 36 = 0.318 π) (a) 0 = and OA = 3cm (b) 0 = 120° and OA = 10cm = 3. Convert these angles, which are in radians to degrees. a) 0.6 π b) 3 π c) 0.2 π e) 0.6c f) 3c g) 0.2c 15 4. Find the length of arc AB and the area of the sector AOB if: 39 A 0 d) e) 360° h) 15 TT 7 C B 5. This badge is designed with an equilateral triangle AABC of side 12cm cut out in the middle. Using A as centre, and radius 12cm a circular arc is drawn from B to C. Similar arcs are drawn on the other sides using B as centre and C as centre.
Transcribed Image Text:Exercise on Radian Measure: 1. Express these angles in radians using . (e.g. 25° 5 -T 36 = (e.g. 25° = 25 180 π = a) 35° b) 215° c) 54° d) 540⁰ 2. Write your answers in question 1 in radians (no π) 25 180 π = 0.318 π = 0.318 x 3.14159 = 0.436 ) 36 = 0.318 π) (a) 0 = and OA = 3cm (b) 0 = 120° and OA = 10cm = 3. Convert these angles, which are in radians to degrees. a) 0.6 π b) 3 π c) 0.2 π e) 0.6c f) 3c g) 0.2c 15 4. Find the length of arc AB and the area of the sector AOB if: 39 A 0 d) e) 360° h) 15 TT 7 C B 5. This badge is designed with an equilateral triangle AABC of side 12cm cut out in the middle. Using A as centre, and radius 12cm a circular arc is drawn from B to C. Similar arcs are drawn on the other sides using B as centre and C as centre.
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