A horse is tied to a pole fixed at one corner of 50 m×50 m square field of grass by means of a 20 m long rope. What is the area of that part of the field which the horse can graze?
The correct option is D: 314 m2
Side of a square =50 m
Length of the rope = radius of the sector
Radius of the sector (r)=20 m
Measure of central angle, θ=90∘
Area of field that can be grazed = Area of sector
=θ360×πr2=90360×3.14×20×20=314 m2