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Question

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?

A
1256m2
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B
942m2
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C
628m2
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D
314m2
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Solution

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


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