# RS Aggarwal Solutions Class 10 Mathematics Solutions for Area Of Circle Sector And Segment Exercise 16A in Chapter 16 - Area Of Circle Sector And Segment

Question 18 Area Of Circle Sector And Segment Exercise 16A

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.

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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