Angle Vocab
Vertex
How many radians are in a full revolution?
2pi
How many degrees in a full rotation
360
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
Give a negative coterminal angle with 60o
-300o
Where is the vertex in standard position?
on (0,0)
pi/3
is in what quadrant?
Quadrant I
How many degrees in 3 rotations
1080
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
Give a positive coterminal angle with -250 degrees
110 degrees
Where is the initial side in standard position?
on the positive x-axis
How many radians in 2 rotations
4π
Converting from degrees to radians multiply by _____
pi/180
A bicycle wheel has radius of 12in and is spinning at a rate of 15rpm
What is its angular speed?
Give exact answer
30π
Give a positive coterminal angle with 3pi/5
13pi/5
Positive angles are measured in which direction? (give the word or draw a picture)
counterclockwise
Convert 90 degrees to radians
π/2
Converting from radians to degrees multiply by _____
180/pi
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
Give a negative coterminal angle with 13pi/6
-11pi/6
Negative angles are measured in which direction (picture or word)?
clockwise direction
Convert 45 degrees to radians
π/4
convert
(8pi)/3
to degrees
480 degrees
Convert 1200 feet per minute to miles per hour
1 mile = 5280 ft
Round to 1 decimal place
13.6 mph
Give a positive coterminal angle with -15pi/2
pi/2