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What are the steps to take to solve this?

 Mar 28, 2022
 #1
avatar+36434 
+3

The shaded sector is  60 degrees out of the ENTIRE circle's 360 degrees

 

Find the area of the ENTIRE circle by using   Area = pi r2

     then multiply by   60 / 360   to get the answer in ft2

 Mar 28, 2022
 #2
avatar
+1

I don't understand. after I find the radius and divide 60/360 what do I do next? subtract it or something?

Guest Mar 29, 2022
 #3
avatar+124594 
+2

Find the area  of the circle =   pi * radius^2    =  pi * 30^2  =  900 pi  ft^2

 

Since  the  60 degree sector  is 1/6   of   360 degrees.....the   sector's area  =   900 pi / 6   = 

 

150 pi  ft^2

 

cool cool cool

CPhill  Mar 29, 2022
 #4
avatar+117849 
+1

There are 360 degrees in a whole circle, you have 60 degrees.  SO you have   \(\frac{60}{360}\)   of a circel

 

The area of a whole cirlce is  \(A=\pi r^2\)

 

If this was the whole circle the area would be    \(\pi* 30^2 = 900\pi \;feet\;squared\)

 

SO the area of just the sector will be     \(\frac{60}{360}*\pi*900 \;\;feet squared\)

 

and you can do the calculation.

 Mar 30, 2022

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