3.1, 3.2 PPT Handout - 3.1 Radian Measure WINK-mm...

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Unformatted text preview: 3.1 Radian Measure WINK-mm Alain—ant 3,: Example 2 Converting Radians to Degrees {page :03: Convert each radian measure to degrees. moms-mm “mm 32 Applications of Radian Measure Wampum nary-m 3i Example 1 Converting Degrees lo Radians 103) Convert each degree measure to radians. (a) 108° (b) 435° (c) 325.70 momma-mm Mun-m 1*. Example 3 Finding Function Values of Angles in Radian Measure {page 105; Find each function value. mommw.umm 3.2 Example 1 Finding Arc Lengih Using a = r9 wage are; A circle has radius 25.60 cm. Find the length of the arc intercepted by a central angle having each of the following measures. (a) a = L” - (b) a = 54° 8 Convert G to radians. wanna-mm mum-um 3.2 Exampie 2 Using Latitudes to Find the Distance Between Two Cities 110; Erie. Pennsylvania is approximately due north of Columbia. South Carolina. The latitude of Erie is 42“ N, while that of Columbia is 34" N. Find the north-south distance between the two cities. The radius of the earth is about 6400 km. The central angle between Erie and Columbia is 42° — 34° = 8°. Convert 8° to radians: 0. L .32 - 8 —8(180)—45 radians mummies-am Alma—.— 3.2 Example 3 Finding 3 Length Using 3 = regs-age no) A rope is being wound around a drum with radius .327 at. How much rope will be wound around the drum if the drum is rotated through an angle of 132.6“? The length of rope wound around the drum is the arc length for a circle of radius .327 m and a central angle of ..1.32:392_________.._.__.___...._._.______._.._..... .. .. .. WBMF-um ramp-m 3.2 Exampte 5 iiinding the Area of 3 Sector (page 112) Find the area of a sector of a circle having radius 15.20 ft and central angle 105.0“. womb-W "mm 12 Example 2 Using Latitudes to Find the Distance Between Two Cities teem.) Use 3 = r9 to find the north—south distance between the two cities. - 3.91 a 3-6400 45) 890 km The north—south distance between Erie and Columbia is about 890 km. Womv—um.umm 3.2 Example 4 Finding an Angie Measure Using 5 = r9 (page l'tl] Two gears are adjusted so that the smaller geardrives the larger one. If the radii cfthe gears are 3.6 in. and 5.4 in., and the smaller gear rotates through 150°. through how many degrees will the larger gear rotate? First find the radian measure of_ the angle. and lhenfirtclthe are... length on the smaller gear that 'detennines the moficnef the ,, larger gear. 150°=150°(1§g°)=%’ radians Wamwm Alumna-n: ...
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This note was uploaded on 01/12/2012 for the course MATH 1213 taught by Professor Pamelasatterfield during the Fall '11 term at NorthWest Arkansas Community College.

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3.1, 3.2 PPT Handout - 3.1 Radian Measure WINK-mm...

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