How do you determine the quadrant in which $2.25$ $2.25$ radians lies?

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Answer 1 · 2018-05-04T12:17:20

$I I^{n d} Q u a d r a n t$ $II^(nd) Quadrant$

We know that,

$π \approx 3.14159 and \frac{π}{2} \approx 1.57079$ $color(red)(pi~~3.14159) and color(blue)(pi/2~~1.57079$

Let, $theta=2.25...to(Given)$

Now,

$color(blue)(1.57079) < 2.25 < color(red)(3.14159$

$=>color(blue)(pi/2) < theta < color(red)(pi)=>II^(nd) Quadrant$

How do you determine the quadrant in which 2.252.252.25 radians lies?