How do you convert angle measurements into angle measurements?

How to convert angle data into angle measurements?

What do you mean to convert to an angle? What angle?

The task is to: the other Convert angle dimension’. So, if the angle is given in degree, it should be converted into the arc size. If the angle is given in the arc size, it should be converted to the degree.

This is such a task on my homework:

‘on your homework? Maybe “from your homework”?

Try to read and work exactly! Mathematics is an exact science where it can often come to small things.

But also otherwise (in other subjects), one should of course be able to read exactly to understand what one is required.

At any rate, it won’t surprise me if you don’t get your homework, if you’ve put so much effort in it as you’ve put an effort in putting your question on.

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A half full angle is 180 degrees and in arc size π. The corresponding ratio of 180° to π can be used for conversion. It is then obtained accordingly…

For conversion from sheet size (RAD) to grade (DEG)…

For conversion from grade (DEG) to sheet size (RAD)…

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In the concrete case…

In the case of partial task a), 45° is given in degree. [This can be seen from the degree symbol ° behind the number.] For the corresponding angle in the arc size,…

[It is possible to shorten 45°/180° with 45° to 1/4.]

Alternatively, one could also see that 45° is a quarter of a 180° angle, and the angle in the arc size is also a quarter of π must be.

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Complete solution proposal for comparison…

(a)

(b)

(c)

(d)