University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2021
Views:

385

Pages:

4
Author:

Clint W.

Radian Measuгe N o-t"e.:,S Verbal Vocabulary Visual Vocabulary Central Angle - an angle whose vertex Use the graph below to label and identify the vocabulary terms. is at the center of а circle. 'l lntercepted arc - the portion of а circ1e whose endpoints are on the sides of а centraJ angJe of the circJe and whose remaining points lie in the interior of the angle. �! r щ -\-t in � о.гс.,, -�--+-+--- 9 i s fh� сел+n& (,t.�\e,. Radian - one radian is the measure of а central angle of а circle that intercepts an arc equal in length to а radius of the circle. You сап use а proportion to convert an angle measure from one unit of measure to the other. .r Circumference - 2лг = лd; 2л radians = 360 ° ; п radians = 180 ° ЕХ #1: Find the measure of the angles below. А. Find the radian measure of а 60 ° angle. в. Convert 85 ° to radians С. Converts .5 radians to degrees G 'Ь �t. jJ <ь611 -;:,� V - " - {pDfJ' .::::-:-f g'O s ' iO о (J,"'°"' � '3� ь¼е.r t.u4j. �. 5r�: z � Jio о (i.s) х -=- /<ь� ft �l.s f Тf g+ 9 lnake 1.t- L Let's nak" -lh;s th;s eaSieuul e asiwl USa LI Con,u{rsirns b. lo- l Using Dimensionol Anolysis To convert degrees to rodions, To convert rodions to dggreeE, multiply by: multiply by: fY ---' _Lgq If lso EX#2: Use dimensionol onolysis to convert eoch ongle meosure from degrees to rodions or from rodions fo degrees. Express rodion meosures in terms of a. A. 4 2 B. rodions d.ry. 2r ltro ,TT 5 7fr.T 7 l:i,,b = )E ?-, = 5r .1 ,1 C. 2 rodions z' 225" a w D. 150" 5 '/ l^, TY ryD ,G Finding Gosirre qnd Sine of Rqdiqn Mea$ureo EX #3: Find exoct volues of the following. Then, use c colculotor to find o decimol opproximotion for eoch. A ""'(+) { w,r@ B. ,in[1) \.3 / {F-19 ),4 boo 1.fi V>,{i "q or fr O,1ci'l o *fin 60 ,G $o Jbbo -' 'Ec L o ,Ybb Lengrfh of on Arc o circle of rodius r,ond o centrol ongle of meosure 6, in rodions, the tength s of ihe inierceptea orc isF-\ For EX A. #4: Use the circle Find length of righf: s io the neorest ienth. : S'r'9 $. ]in B. Find length t?) -. or 6 to fhe neorest tenth. b'-r'9 b tSa )uclr,, lD S 3,*L'9r) b b s s'\,1 ;n W 3 2li Arc Length 63;n"G Reql-I,{orld Gonn ecfion #6: A weother sotellite in o circulor orbit oround Eorth complefes one orbif every 2 hours. Ihe radius of Eorth is obouf 6400 krn, ond lhe solelliie orbiis 260d] km obove Eorth's surfoce. How for does the sotellite trovel in I hour? EX f = ?oook,q IJ, Z ho,^rs, ;t Jocs bLID\ yq o.U'*. g*Lr (l "*i+) 5=r'9 g rgoooC") S * 5G, 5,{ f . Lb1 Ka ;' Z brs. 5ic