How do you determine the quadrant in which $- 4.25$ $-4.25$ radians lies?

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How do you determine the quadrant in which $- 4.25$ $-4.25$ radians lies?

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Answer 1 · 2017-10-26T10:18:39

Consider multiples of $π$ $pi$ written in decimal form.

Explanation:

$- 4.25$ $-4.25$ is between $- π$ $-pi$ , which is roughly -3.14, and $- \frac{3 π}{2}$ $-(3pi)/2$ , which is roughly -4.71. Each quadrant has a turn of $\frac{3 π}{2}$ $(3pi)/2$ so this means we're looking at a value which is in the third quadrant away from zero. We're counting in the clockwise direction as it's negative, so that takes us to the second (i.e. top left) quadrant.

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How do you determine the quadrant in which $- 4.25$ $-4.25$ radians lies?

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How do you determine the quadrant in which $- 4.25$ $-4.25$ radians lies?