Converting angles from degrees to radians

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John Sheekey

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John Sheekey 7 years, 1 month ago

Created this as a copy of Converting angles from degrees to radians.

Name	Status	Author	Last Modified
Converting angles from radians to degrees	Ready to use	Ben Brawn	09/03/2025 23:58
Converting angles from degrees to radians	Ready to use	Ben Brawn	09/03/2025 23:59
John's copy of Converting angles from radians to degrees	draft	John Sheekey	26/01/2018 10:24
Converting angles from degrees to radians	draft	John Sheekey	06/02/2018 17:16
Converting angles from degrees to radians [L7 Random]	Needs to be tested	Matthew James Sykes	25/07/2018 11:00
Terry's copy of Converting angles from radians to degrees	draft	Terry Young	03/04/2019 17:53
Terry's copy of Converting angles from degrees to radians	draft	Terry Young	03/04/2019 17:53
E's copy of Terry's copy of Converting angles from degrees to radians	draft	E Lingham	03/07/2019 12:26
Converting angles from radians to degrees	draft	Xiaodan Leng	11/07/2019 02:25
Converting angles from degrees to radians	draft	Xiaodan Leng	11/07/2019 02:26

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Question statement

Please convert the following angles from degrees to radians.

Note: to enter the value $\pi$ simply type pi. For example, $\frac{3\pi}{2}$ could be entered as 3*pi/2 or even as 3pi/2

Note: do not add or subtract multiples of $2\pi$ to your answer, as we are not necessarily talking about the argument of a complex number.

Give any introductory information the student needs.

			Name	Type	Generated Value

easy1	integer	360
easyans	number	2 pi
med	integer	60
medansden	integer	3
a	integer	9
b	integer	30
ans3	rational	54
d	number	90

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Name

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Value

xxxxxxxxxx
 
random(180,360)

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Generated value: `integer`

360

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easyans

"Part a)" - prompt

Parts

Part a) Gap-fill
1. Gap Mathematical expression
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Part b) Gap-fill
1. Gap Mathematical expression
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Part c) Gap-fill
1. Gap Mathematical expression
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$\var{easy1}^\circ=$ Unnamed gap

Advice

$180^\circ$ is equal to $\pi$ radians. This means for each $180^\circ$ we can replace it with $\pi$ radians. To determine how many $180^\circ$ s are in an angle, we divide the angle by $180^\circ$ . In other words, to convert from degrees to radians we divide by $180^\circ$ and multiply by $\pi$ radians.

For example, $\displaystyle \var{a*b}^\circ=\frac{\var{a*b}^\circ}{180^\circ}\times \pi=\frac{\var{a*b/d}}{\var{180/d}}\pi$ .

It is useful to memorise some of the very common angles, for example, $30^\circ=\displaystyle \frac{\pi}{6},\, 45^\circ=\frac{\pi}{4},\, 60^\circ=\frac{\pi}{3}, \,90^\circ=\frac{\pi}{2}, \,180^\circ=\pi$ and $360^\circ=2\pi$ .

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Taxonomy: mathcentre

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John Sheekey 7 years, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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Converting angles from degrees to radians

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

John Sheekey 7 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`