Converting Radians & Degrees
Convert 60° to radians.
pi/3
A wheel rotates 120° in 4 seconds. Find its angular speed.
30° or
pi/6
Find a positive coterminal for 45°
405°
Find the arc length of a circle with radius 4cm and central angle pi/2
2pi
Find the area of a sector with r=4 and
theta=pi/2
4pi
Convert radians to degrees.
(3pi)/4
135°
A wheel rotates through pi radians in 2 seconds. Find its angular speed.
pi/2
Find a positive coterminal angle for 120°
480°
Find the arc length when r=6 and
theta=(2pi)/3
4pi
Find the area of a secter with r=6 and
theta=pi/3
6pi
Convert 225° to radians.
(5pi)/4
A point on a wheel with radius 5 m travels through an angle of pi/2 radians in 2 seconds. What is its linear speed?
(5pi)/4
Find a negative coterminal angle for 70°
-290°
A circle has radius 10m and central angle of 60°. Find the arc length.
(10pi)/3
Find the area of a secer with radius 10cm and central angle 90°
25pi
Convert radians to degrees.
(7pi)/6
210°
A point on a wheel with radius 8 ft travels through an angle of 270° in 6 seconds. What is its linear speed?
2pi
Find a negative AND positive coterminal angle for
pi/3
-(5pi)/3 and (7pi)/3
Find the arc length of a circle with radius 15ft and central angle 240°
20pi
Find the area of a sector with radius 12ft and central angle 150°
60pi
Convert radians to degrees.
-(11pi)/6
-330°
A point on a wheel with radius 12 m travels through an angle of 300° in 5 seconds. What is its linear speed?
4pi
Find a negative AND positive coterminal angle for
-(7pi)/6
-(19pi)/6 and (5pi)/6
An arc has length 12pi inches on a circle with radius 9 inches. Find the central angle in degrees.
240°
A sector has an ara of 54pi and radius 9cm. Find the central angle in degrees.
240°