Question

5. A horse is tied to a peg at one corner of a square shaped grass
field of side 15 m by means of a 7 m long rope. The area of that
part of the field in which the horse can graze, is
(a) 77 cm2
(b) 772 cm2
(c) 154 cm2
(d) 774 cm2​

Answer 1

Answer:

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

Step-by-step explanation:

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