Circles: Radians and Degrees
Every circle is 360 degrees
Type in the missing degrees
Every circle is 360 degrees
It takes 2π radii
(about 6.28 radii)
to travel a full circle.
The circumference of
a circle is
C=2πr
If 2π radii are needed for
a             circle,


1π radii would wrap around
C=2πr
It takes 2π radii
to travel a full circle.
full
?
half
?
a circle.
If 2π radii are needed for
a             circle,


1π radii would
wrap around
half
C=2πr
full
a circle.
π
The image above shows it takes
about 6.28 radii, or         π radii
to travel around a circle.
An angle of 1 radian
cuts off an arc equal to
1 radius.


An angle of 2π radians
creates a full circle.

2π radians =         degrees

1π radian =           degrees
180
?
360
?
Remember,
it takes
radii
to wrap
around
a circle.

It takes
radians
to travel
around a circle.
π
?
3π/2
?
π/2
?
initial
(start)
ray
Remember,
it takes
radii
to wrap
around
a circle.

It takes
radians
to travel
around a circle.
π
5π/4
?
3π/4
?
3π/2
π/2
7π/4
?
π/4
?
start
Remember,
it takes
radii
to wrap
around
a circle.

It takes
radians
to travel
around a circle.
π
5π/4
3π/4
3π/2
π/2
7π/4
π/4
start
π
Half a circle
has a angle of
π radians
(180 degrees)
start
π
 π/4 radians
 π/2 radians
3π/4 radians
This angle is:
start
π
Half a circle
has a angle of
π radians
(180 degrees)
start
π
 π/4 radians
 π/2 radians
3π/4 radians
This angle is:
start
π
Half a circle
has a angle of
π radians
(180 degrees)
start
π
 3π/4 radians
 5π/4 radians
7π/4 radians
This angle is:
start
5π/6
?
7π/6
?
11π/6
?
π/6
?
3π/6
?
throw out
the trash
choice
trash
4π/3
?
2π/3
?
5π/3
?
π/3
?
3π/3
?
throw out
the trash
choice
trash
The
End
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