+0  
 
0
135
4
avatar+50 

A fence encloses a square field whose sides measure 8 m. A horse is tethered to a rope that is attached to a corner post of the field so that the horse is outside the fence. If the rope holding the horse is 13 m long, find the total grazing area of the horse in square metres.

 Feb 27, 2020
 #1
avatar+359 
+1

how many are u sending?!

 Feb 27, 2020
 #2
avatar+50 
+1

A lot lol... just got a new exam review and need someone to explain the solutions to me.

jamesbroadman  Feb 27, 2020
 #3
avatar+111401 
+2

We  have  two  areas to consider

 

(1) The horse will be able to  graze a larger  area  which  is the  area  of  a  (3/4)  circle with a radius  of 13

So  this area  =  (3/4) pi *13^2 =   (1/4)pi *  3* 13^2

 

(2)  We  have two  smaller  areas  that are   both quarter-circles with radii  of (13 - 8)   = 5

So  this area  =    2 (1/4) *pi * 5^2   =  (1/4) pi * 2 * 5^2

 

So.....the total area =  

 

(1/4) pi  [  3 * 13^2   +  2 * 5^2  ]   =

 

(pi/4)  [ 507  + 50  ] =

 

(pi/4)  [ 557]  =

 

(557/4) pi   m^2  ≈   437.5 m^2

 

 

cool cool cool cool

 Feb 28, 2020
 #4
avatar+50 
0

thank you so much!

jamesbroadman  Feb 28, 2020

8 Online Users