L04_blanks - intercepted by a central angle of 80°. Slide:...

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1 Day 05 Lecture 04 for 1/20/2011 Angle Measures & Special Angles More About Radians, Degrees Given the angle , the angles coterminal to are where n is any integer. Suggestion : Its usually easier to work with angles that have been expressed as whole number of plus/minus a fraction times . Ex: Find the second smallest negative angle coterminal with Slide: 2 of 8 is 0
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2 More About Radians, Degrees Another way to measure angles is in terms of degrees. which implies, . Therefore, Slide: 3 of 8 is 0 Conversions between Radians and Degrees Ex: Convert each angle in degrees to radians. 1) 2) Ex: Convert each angle in radians to degrees. 1) 2) Slide: 4 of 8 is 0
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3 Arc Length Examples From earlier, we know that on a circle of radius ____, a central angle ____intercepts an arc of length ____ given by where ____ is measured in radians. Ex: A circle has a radius of 6 inches. Find the length of the arc
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Unformatted text preview: intercepted by a central angle of 80°. Slide: 5 of 8 is 0 Arc Length Examples Ex: A circle has a radius of 4 inches. What angle in A) Radians, B) Revolutions, and C) degrees would produce an arc of length 5 inches? Slide: 6 of 8 is 0 4 Sectors A sector is a section of a circle bordered by the _____________ and ______________ rays of a central angles and the _____ on the circle that corresponds to that angle. A sector is a __________ _____________. For a circle of radius ___, the area ___ of a sector with central angle ___ is given by where ___ is measured in radians. Compare the Area of Sector w/ that of Triangle: Slide: 7 of 8 is 0 Area of a Sector Example Ex: A sprinkler sprays water over a distance of 30 feet while rotating through an angle of 150°. What is the area of lawn that receives water? Slide: 8 of 8 is 0...
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This note was uploaded on 08/01/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.

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L04_blanks - intercepted by a central angle of 80°. Slide:...

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