Question

9. A horse is tethered to a comer of a field which is of shape of an equilateral triangle. If the length of the rope by which it is tied by 7 m, find the area of the field over which it can graze.



Ans should be :-
25.667 meter square​

Answer 1

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Refer to the attachment pls.

Answer 2

Each angle of equilateral triangle = 60°

Side of an equilateral triangle = 12 m

Length of the rope =7 m

Area of an equilateral triangle =

4

3

(side)

2

=

4

3

×12×12=62.35 m

2

Area of sector with radius 7 m=

360

60

×

7

22

×7×7=25.66 m

2

Now,Area which cannot be grazed by horse = Area of an equilateral triangle - Area of sector with radius 7 m=62.35 m

2

−25.66 m

2

=36.68 m

2