Question

9. A horse is tethered to a comer of a field which is of the 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.​

Answer 1

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Answer 2

Answer:

Sol:-

Each angle of equilateral triangle = 60°

= Side of an equilateral triangle = 12 m

Side of an equilateral triangle = 12 mLength of the rope =7 m

= Area of an equilateral triangle = √3/4(side)^2

Area of an equilateral triangle = √3/4(side)^2

= √3/4×12×12=62.35 m

= Area of sector with radius 7 m=

Area of sector with radius 7 m= 60/360 ×22/7×7×7= 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.

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