Angle Measure Worksheet With Answers - Section 6.1 Page 2
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10To get some idea of the size of a radian, notice that
◦
◦
1 rad ≈ 57.296
≈ 0.01745 rad
and
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EXAMPLE:
π
◦
(a) Express 60
in radians.
(b) Express
rad in degrees.
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Solution:
) ( 180
)
( π
)
( π
π
π
◦
◦
(a) 60
= 60
rad =
rad
(b)
rad =
= 30
180
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π
EXAMPLE:
3π
◦
(a) Express 40
in radians.
(b) Express
rad in degrees.
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Solution:
(
) (
)
( π
)
2π
3π
3π
180
◦
◦
(a) 40
= 40
rad =
rad
(b)
rad =
= 135
180
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π
Angles in Standard Position
An angle is in standard position if it is drawn in the xy-plane with its vertex at the origin and
its initial side on the positive x-axis. The Figures below give examples of angles in standard
position.
(a)
(b)
(c)
(d)
Two angles in standard position are coterminal if their sides coincide. The angles in Figures
(a) and (c) above are coterminal.
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