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Unformatted text preview: 3.1 Radian Measure WINKmm Alain—ant 3,: Example 2 Converting Radians to Degrees {page :03: Convert each radian measure to degrees. momsmm “mm 32 Applications of Radian Measure Wampum narym 3i Example 1 Converting Degrees lo Radians 103) Convert each degree measure to radians. (a) 108° (b) 435° (c) 325.70 mommamm Munm 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. wannamm mumum 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 northsouth 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 mummiesam Alma—.— 3.2 Example 3 Finding 3 Length Using 3 = regsage 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_________.._.__.___...._._.______._.._..... .. .. .. WBMFum rampm 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“. wombW "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
36400 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 Alumnan: ...
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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.
 Fall '11
 PamelaSatterfield

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