SOLUTION: A horse is tied at one corner of a 10m by 20m barn. If the rope is 25m long, find the area of the region in which the horse can graze. Leave your answer in terms of PI.
Area of
Algebra ->
Circles
-> SOLUTION: A horse is tied at one corner of a 10m by 20m barn. If the rope is 25m long, find the area of the region in which the horse can graze. Leave your answer in terms of PI.
Area of
Log On
Question 133785: A horse is tied at one corner of a 10m by 20m barn. If the rope is 25m long, find the area of the region in which the horse can graze. Leave your answer in terms of PI.
Area of the a circle is A=r^2Pi
r=25m is the length of the rope or the radius
The corner of the 20m x 10m barn is the center of the circle.
Therefore the each side measurement of the barn will add up to 25m.
20+5=25m 10+15=25m
The area of the barn will be a third of the circle which means the horse can only graze 2/3 of the region.
Notice: A=r^2Pi r=25m
Since the horse can only graze 2/3 of the region, the area formula is:
A=2/3r^2Pi
=2/3 (25)^2Pi
=2/3(625)Pi
=1250/3Pi or
=416.67Pi
(