Scale factor can enlarge or decrease SIDE lengths, however, angle measurements will not change. Scaling creates similar figures.
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Yes. Besides the included angle, arc length is also dependant on the radius. Arc length = (Pi/180) x radius x included angle in degrees.
An angle has no length at all. The angle is just the amount of opening between the two lines where they meet. The length of the angle's sides is completely irrelevant, and has no effect at all on the measure of the angle. They can be any length from almost zero to infinite, and they don't even have to both be the same length. It just doesn't matter. None of that changes the measure of the angle.
The angle measure is: 90.01 degrees
It depends on what measure you want: the angle subtended or the length of the curved segment, and also on what information you do have.
No, a ruler is used only to measure length, width or height. You must use a protractor in order to measure the degrees in an angle.