# a horse is tied to a peg at one corner of a square shaped grass field of side 15m by means of a 5m long rope.find the area of that part of the field in which the horse can graze.

## Answers

**Answer:**

19.6 (to three significant figures)

**Step-by-step explanation:**

well , think about this. if a point is given , and you are asked to go 5m from it, you can go left ,or right or wherever within the given 5m. there are infinite possible ways to be %m away from that piont. if you connect all these points, you get a circle. so if you were asked to find the area bound by the circle, well you easily can.

now in this problem there is a square field. eventhough it can move about a circle, it can only graze within the field. so the area you have to find is the one quarters of the circle inside the field.

that would be:

1/4*πr²

where r= 5m

substituting this, you get 19.6 (or) 25π/4

hope that helps :)

**Answer:**

length of rope = 5m

hence r= 5m

area of sector = ○/360°×3.14×5×5

=90°/360°×3.14×25

= 1/4×3.14×25

=1×3.14×25/4

=19.625

-------------------------

HOPE IT HELPS YOU

**Step-by-step explanation:**