#$&*
course Phy 231
Hello professor
How are you today?
3. An angle (theta) is in standard position if its vertex is at the origin of a rectangular coordinate system
and its initial side coincides with the positive x-axis.
9. The area A of the sector of a circle or radius r formed by a central angle of (theta) degrees is A=1/2
r^2(theta). True
11. 30 degrees. (draw the angle) Using a protractor, I drew my 30 degree angle. It is one third of a 90 degree angle.
15. 450 degrees. (draw the angle) I knew that a circle was 360 degrees, so I subtracted 360 degrees from 450 and got 90. I then drew a 90 degree angle with the arrow that went around the bottom.
21.
16 pi/3= (16 * 3.14)/ 3
50.24/3= 17
23. 40 degrees 10’ 25” Convert each angle to a decimal in degrees and round to 2 places.
= 40 + 10’ + 25”
= 40 + 10 * (1/60) + 25 (1/60 *1/60)
= 40 + .17 +.069
= 40.17 degrees
27. 9 degrees 9’ 9”
= 9 + 9 (1/60) * 9 (1/60 * 1/60)
= 9 + .15 + .0025
= 9.15 degrees
29. convert to D degrees M’ S”
40.32= 40 + .32
= 40 + .32(60)
= 40 + 19.2
= 40 + 19 + 2(60)
= 40 + 19 + 12
= 40 degrees 19’ 12”
33. convert to D degrees M’ S” 19.99 degrees.
19.99= 19 + .99
= 19 + .99(60)
= 19 + 59.4
= 19 + 59 + .4(60)
= 19 degrees 59’ 24”
35. Convert each angle in degrees to radians.
30 degrees * pi/180
= pi/6
39. Convert each angle in degrees to radians. -60 degrees
-60/1 * pi/180= - pi/3
43. -135 degrees.
135/1 * pi/180= -3pi/4
47. Convert each angle in radians to degrees.
Pi/3 * 180/pi= 60 degrees
49. Convert each angle in radians to degrees.
5 pi/4= 5 pi/4 * 180/ pi=900/4
= -225 degrees
55. Convert each angle in radians to degrees.
-pi/2= pi/2 * 180/pi= -90 degrees
61. Convert each angle in degrees to radians. -40 degrees
-40/pi * pi/180= -2 pi/9
67. Convert each angle in radians to degrees.
2/pi * pi/180= pi/90 degrees
71. r= 10 meters
(theta)= ½ radian
S= (10)(1/2)
S= 5 meters
73. (theta)= 1/3 radian
S= 2 ft.
R= 0
6 ft.
79. A= ½ r^2(theta)
R= 10 m= 25 m^2
83. r= 5 mi
A= 3 square miles (theta)= 0
.24 radian
A= 1/2r^2(theta)
89. s= 14.661 yd.
A= 87.965 yd sq.
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@& Hello, and welcome.
Your work looks good. You have specified on each problem what you are trying to find and how you have gone about finding it. You appear to understand everything in the assignment, and appear to be well prepared for this course.
However you should do the Orientation so you know how do to the qa's and queries for the course.*@