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A rectangular building is 4 meters by 6 meters. A dog is tied to a rope that is 10 meters long, and the other end is tied to the midpoint of one of the long sides of the building. Find the total area of the region that the dog can reach (not including the inside of the building), in square meters.

 

Thanks!

 Feb 9, 2020
 #1
avatar+21725 
+1

He gets a semicircle of radius   10    

then when the rope hits the corner of the building it will only be 4 m ...he will get two quarter circles of this radius

 

 

pi r^2 = area       semicircle =  1/2  pi  (10)^2

 

         and two quarter circles = one semicircle of radius 4     1/2  pi (4)^2        Add the reds together for total area.

 Feb 9, 2020
 #3
avatar+515 
0

There are 3 radii:  r=10,  r=7, r=3  wink

Dragan  Feb 11, 2020
 #2
avatar+515 
+2

A rectangular building is 4 meters by 6 meters. A dog is tied to a rope that is 10 meters long, and the other end is tied to the midpoint of one of the long sides of the building. Find the total area of the region that the dog can reach (not including the inside of the building), in square meters.

Total area is  248.1858196 m²  indecision

 Feb 11, 2020
edited by Dragan  Feb 11, 2020
edited by Dragan  Feb 11, 2020

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