Question

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: (i) Area of grass shaped field.

(ii) Perimeter of grass field.

(iii) The area of that part of the field in which the horse can graze.

(iv) The increase in grazing area if the rope were 10m loninstead of 5m.(use pi=3.14)​

Answer 1

Step-by-step explanation:

Side of square=15m

Length of rope=5m=radius

The area available for horse to graze is nothing but "Area of Quadrant of a circle'

∴ Area of Quadrant =

4

π×r

2

=

4

3.14×5×5

=19.625m

2

If the length of rope is increased to 10m then the new radius ,=10m

∴ Area of new quadrant =

4

3.14×10×10

=78.5m

2

∴ Increase in grazing area =78.5−19.625=58.875m

2