<p>Can someone help me with #19 on page 464.</p>
<p>First, you have to find the radius:
(30/360) x (diameter x pi) = 6 pi
(diameter x pi) / 12 = 6 pi
72 pi = (diameter x pi)
radius = 36</p>
<p>Using the radius, find the sector:
(30/360) x (36^2 (pi))
and you should get 108 pi as your answer. </p>
<p>Hope this helps!</p>
<p>since the total degrees of a circle=360, then there are 12 groups of these 30 degree arcs that exist in a circle. To get the circumference, do 6Pi x 12, you get 72Pi. Since circumference=Pi x diameter, you can set up 72Pi = diameter x Pi</p>
<p>72=Diameter....get half of that to get the radius (36) and do Pi x 36^2 to get area of the whole circle (area=Pi x r^2)....area=1296Pi</p>
<p>divide by 12 to get the area of only the segment you are looking at....and you get 108Pi</p>
<p>don't know if there is a faster way to get that but that's how i would get it...and without explaining how to do each step it wouldnt take much time at all</p>
<p>I don't get how</p>
<p>(30/360) x (diameter x pi) = 6pi</p>
<p>What's the diameter and how'd you get it?</p>