A compass can be used to calculate distance by angle and to help draw circles as well as finding the radius, diameter, and circumference of the circle.
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In math a compass is an object used to draw accurate circles and arcs (parts of circles, or curves). In math, a compass is something that makes a circle and it also measures circumference. How to make a circle: A compass either has led in it or you stick a pencil in it, but it depends on what kind of compass it is. If you want to make a big circle, you expand the 2 sides. when you get it to the size you want, you stick it on paper and twirl it around. It may not be a perfect circle but it most likely will be close.
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It is "a pair of compasses" - usually called a compass.
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