a horse is tethered to one corner of a square plot of side 42m by a 30m long rope, then
1)find the area it can graze
2) find the area that will be left ungrazed
Plzzzzzzzz ans fast its very urgent
Answers
hey mate!
Answer:
The area which the horse can graze = 706.5 m²
The area that is left ungrazed = 1057.5 m²
Step-by-step explanation:
When a horse is tethered to one corner of a square plot , it can graze the area in form of a quadrant of a circle .
So, the area which the horse can graze = 1/4 * pi * r * r
where, r = length of rope = 30 m
=> the area which the horse can graze = 1/4 * 3.14 * 30 * 30
= 706.5 m²
So, the ungrazed area is the leftover area .
=> the area that is left ungrazed = area of square plot - area grazed by horse
So , the area of square plot = side * side
= 42 * 42
= 1764 m²
=> the area that is left ungrazed = 1764 - 706.5
= 1057.5 m²