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Area Of Circle Sector And Segment | Area Of Circle Sector And Segment Exercise 16A

Question 18

A horse is tethered to one corner of a field which is in the shape of an equilateral triangle of side 12 m. If the length of the rope is 7 m, find the area of the field which the horse cannot graze. (Take √3 = 1.73). Write the answer correct to 2 places of decimal.

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Each angle of the equilateral triangle = 60^0

Side of an equilateral triangle = 12 m

Length of the rope = 7 m

Area of an equilateral triangle = √3/4 (side)^2 = √3/4 x 12 x 12 = 62.35 m^2

Area of sector with radius 7 m = 60/360 x 22/7 x 7 x 7 = 25.66 m^2

Now,

The area which cannot be grazed by horse = Area of an equilateral triangle - Area of the sector with radius 7 m

= 62.35 m^2 - 25.66 m^2

= 36.68 m^2

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Question 18

A horse is tethered to one corner of a field which is in the shape of an equilateral triangle of side 12 m. If the length of the rope is 7 m, find the area of the field which the horse cannot graze. (Take √3 = 1.73). Write the answer correct to 2 places of decimal.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Each angle of the equilateral triangle = 60^0

Side of an equilateral triangle = 12 m

Length of the rope = 7 m

Area of an equilateral triangle = √3/4 (side)^2 = √3/4 x 12 x 12 = 62.35 m^2

Area of sector with radius 7 m = 60/360 x 22/7 x 7 x 7 = 25.66 m^2

Now,

The area which cannot be grazed by horse = Area of an equilateral triangle - Area of the sector with radius 7 m

= 62.35 m^2 - 25.66 m^2

= 36.68 m^2

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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