Sec 5-1 Review

Angle Vocab

100

What is the endpoint of the rays in an angle called?

Vertex

200

Where is the vertex in standard position?

on (0,0)

300

Where is the initial side in standard position?

on the positive x-axis

400

Positive angles are measured in which direction? (give the word or draw a picture)

counterclockwise

500

Negative angles are measured in which direction (picture or word)?

clockwise direction

Radians

100

How many radians are in a full revolution?

2pi

200

pi/3

is in what quadrant?

Quadrant I

300

How many radians in 2 rotations

4π

400

Convert 90 degrees to radians

π/2

500

Convert 45 degrees to radians

π/4

Degrees/convert

100

How many degrees in a full rotation

360

200

How many degrees in 3 rotations

1080

300

Converting from degrees to radians multiply by _____

pi/180

400

Converting from radians to degrees multiply by _____

180/pi

500

convert

(8pi)/3

 to degrees

480 degrees

ARc Length/Area of Sector/Linear and Angular Speed

100

What is the arc length if the central angle is 45 degrees and the radius is 5cm

Round to nearest tenth

5π/4    or  3.9cm

200

What is the area of a sector if the central angle is π/2

and the radius is 15in

Round to the nearest inch

177 in

300

A bicycle wheel has radius of 12in and is spinning at a rate of 15rpm

What is its angular speed?

Give exact answer

30π

400

A bicycle wheel has radius of 12in and is spinning at a rate of 15rpm

What is its Linear speed?

Round answer to nearest inch per minute

1131 in/minute

500

Convert 1200 feet per minute to miles per hour

1 mile =  5280 ft

Round to 1 decimal place

13.6 mph

Coterminal

100

Give a negative coterminal angle with 60^o

-300^o

200

Give a positive coterminal angle with -250 degrees

110 degrees

300

Give a positive coterminal angle with 3pi/5

13pi/5

400

Give a negative coterminal angle with 13pi/6

-11pi/6

500

Give a positive coterminal angle with -15pi/2

pi/2