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!

Rudram592 Feb 9, 2020

#1**+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.

ElectricPavlov Feb 9, 2020

#2**+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 _{}**

Dragan Feb 11, 2020