A horse is tied to a peg at one corner of a square shaped grass field of side $15$ m by means of a $5$ m long rope. Find the area of that part of the field in which the horse can graze. Also, find the

Question

A horse is tied to a peg at one corner of a square shaped grass field of side $15$ m by means of a $5$ m long rope. Find the area of that part of the field in which the horse can graze. Also, find the increase in grazing area if length of rope is increased to $10$ m. (Use $\pi = 3.14$)

Accepted Answer

Step 1: Area of the field in which the horse can graze with $5$ m rope $= \frac{1}{4} 	imes 3.14 	imes (5)^2$
Step 2: $= 19.625$ m$^2$
Step 3: Area with $10$ m rope $= \frac{1}{4} 	imes 3.14 	imes (10)^2$
Step 4: $= 78.5$ m$^2$
Step 5: Increase in grazing area $= 78.5 - 19.625 = 58.875$ m$^2$

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