What is area of the field that is left ungrazed, if the length of the rope of each horse is 7 m?

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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:

(iii) What is area of the field that is left ungrazed, if the length of the rope of each horse is 7 m

1 $246 m^{2}$

2 $245 m^{2}$

3 $235 m^{2}$

4 $- 246 m^{2}$

Ans.
(1)

Area of the field left ungrazed

$= Area of square field - 4 \times area of field in which horses can graze = (20)^{2} - 4 \times \frac{90}{360} \times \frac{22}{7} \times (7)^{2} = 400 - 154 = 246 m^{2}$

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