3.2 Conversion between radians and degrees? Degrees to Radians: Radians to Degrees: a) 60° = b) 120° = c) 135° = d) 30º = e) 150° = f) 270° = g) 27° = h) 81° = 8° 8° = x( ) Try the next few of questions: a radians = ac

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3.2 Conversion between radians and degrees?
Degrees to Radians:
Radians to Degrees:
a) 60° =
b) 120° =
c) 135° =
d) 30º =
e) 150° =
f) 270° =
g) 27° =
h) 81° =
Try the next few of questions:
multiplying by 3.14159
swept through.
0°
0° = 5 x( )
e.g. 315° =
a radians =
ac
5*0
gives us a clearer idea of how many radians we have
x 3.14159 ≈
35
radians (1 d.p.)
Transcribed Image Text:3.2 Conversion between radians and degrees? Degrees to Radians: Radians to Degrees: a) 60° = b) 120° = c) 135° = d) 30º = e) 150° = f) 270° = g) 27° = h) 81° = Try the next few of questions: multiplying by 3.14159 swept through. 0° 0° = 5 x( ) e.g. 315° = a radians = ac 5*0 gives us a clearer idea of how many radians we have x 3.14159 ≈ 35 radians (1 d.p.)
So what about a complete turn?
3
2
1
1
Recall circumference of a circle=
For a full circle:
radians =
And so the exchange rate is:
radians =
or
=
Angles in radians will often have
As 180° is
radians,
so 90° is
radians.
About
So one radian =
degrees
radius fit round a circle.
degrees
attached to them.
radians; 45° is
If you want the actual number, then simply multiply by
e.g. 60° =
radians.
or
Transcribed Image Text:So what about a complete turn? 3 2 1 1 Recall circumference of a circle= For a full circle: radians = And so the exchange rate is: radians = or = Angles in radians will often have As 180° is radians, so 90° is radians. About So one radian = degrees radius fit round a circle. degrees attached to them. radians; 45° is If you want the actual number, then simply multiply by e.g. 60° = radians. or
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