f the length of the rope of each horse is increased from 7 m to 10 m, find the area grazed by one horse. (Use ? = 3.1

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Solution

Q.
A stable owner has four horses. He usually ties these horses with 7 m long rope to pegs at each corner of a square shaped grass field of 20 m length, to graze in his farm. But tying with rope sometimes results in injuries to his horses, so he decided to build fence around the area so that each horse can graze.

Based on the above information answer the following questions:

(ii) (b) If the length of the rope of each horse is increased from 7 m to 10 m, find the area grazed by one horse. $(U s e π = 3.14)$

1 $78.5 m^{2}$

2 $68.5 m^{2}$

3 $73.5 m^{2}$

4 $69.5 m^{2}$

Ans.
(1)

When length of rope is increased, we have r = 10 m

Area grazed by one horse

$= \frac{90}{360} \times π r^{2} = \frac{1}{4} \times 3.14 \times (10)^{2} = \frac{1}{4} \times 3.14 \times 100 = \frac{314}{4} = 78.5 m^{2}$

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