Ch. 3 Review: Radians

Degrees to Radians

100

180 degrees

π radians

200

90 degrees

π/2 radians

300

60 degrees

π/3 radians

400

150 degrees

5π/6 radians

500

224 degrees

56π/45 radians

Radians to Degrees

100

4π/9 radians

80 degrees

200

2π/3 radians

120 degrees

300

7π/12 radians

105 degrees

400

1.4 radians

80.21 degrees

500

14 radians

802.14 degrees

Functions with Radians

100

sin(π/3)

(√3)/2

200

cos(π/2)

0

300

tan(π/4)

1

400

csc(π/6)

2

500

cot(-2π/3)

1/(√3)

Applications

100

This is the arc length of a circle with radius 4.1 meters and angle 3 radians.

12.3 meters

200

This is the arc length of a circle with radius 18 inches and angle 60 degrees.

6π inches (18.85 inches)

300

This is the area of a sector with radius 4.5 kilometers with an angle of 2π/3 radians

(40.5)(π²)/6

400

A satellite traveling in a circular orbit 1600 km above the surface of the Earth takes 2 hours to make an orbit. Assume that the radius of Earth is 6400 km. Find the linear velocity of the satellite.

25,132.74 km per hour

500

A satellite traveling in a circular orbit 1600 km above the surface of the Earth takes 2 hours to make an orbit. Assume that the radius of Earth is 6400 km. Find the distance traveled in 4.5 hours.

113,097.33 km

AU Teacher Trivia

100

This AU Teacher likes Star Wars

Mr. Rothman

200

This AU Teacher plays guitar and ukulele.

Mr. Akre

300

This AU Teacher enjoys Backpacking, and has been to Glacier National Park twice

Mr. Rothman

400

This AU Teacher has been to Spain twice.

Mr. Akre

500

This AU Teacher is minoring in computer science.

Mr. Vargas