How do you determine the quadrant in which #3.5# radians lies?

1 Answer
Teddy
Jun 14, 2018

#3.5# radians lies in quadrant III.

Explanation:

Since we know the measure in degrees of multiples of #pi/2# radians, it would be nice to create an inequality that contains #3.5# radians. We will use the approximation #pi~~3.14# and from that it follows that #pi/2~~1.57#. Since #3.14<3.5<3.14+1.57#, we can write this inequality like this: #pi<3.5<(3pi)/2#. Since we know that #pi# radians is equal to #180^o# and #(3pi)/2# radians is equal to #270^o#, 3.5 radians lies in the third quadrant.

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