Question

Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is 10 meters

Answer 1

Answer:
`78.55\ m^2`

Explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

`\Rightarrow (1)/(4)* \pi r^2\\\\\Rightarrow (\pi r^2)/(4)\\\\\Rightarrow (\pi * 10^2)/(4)=78.55\ m^2`