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DENIUS [597]
3 years ago
9

What quadrant is 2π/9?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

  1

Step-by-step explanation:

(2/9)π is between 0 and π/2, so the angle is in quadrant 1.

__

In degrees, it is equivalent to (2/9)(180°) = 40°.

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now, how many degrees are there in 1 minute?  well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes?  well, 27 * 6, or 162°.  So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
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------\\
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which is roughly 18 inches rounded up.
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