Question

A horse is tied to a pole at a corner of a square field of side 12 m by a rope of length 3.5 m. Find the area of the part of the field in which the horse can graze.​

Answer 1

1/4th of circular region of radius 3.5 M as Horse can only graze between two adjacent edges of square ... So. area grazed = 1/4πr^2 = 1/4*22/7*3.5*3.5 = 9.625 M^2

Answer 2

Answer:

Side of a square =12 m

Length of the rope = Radius of the sector

∴ Radius of the sector r=3.5 m

Measure of arc θ=90°   [Angle of a square]

Area of field that can be grazed = Area of sector

                                                     =θ/360​×πr²

                                                     =90/360​×22/7×3.5×3.5

                                                     =1/4×11×3.5

                                                     = 38.5/4m²

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