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
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HOPE IT HELPS YOU
Step-by-step explanation: