The length of a square field is 50, m . A cow | vedclass

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Question

Suppose, the cow is tethered at the vertex $A$ of the square field $ABCD$ by a $3\,m$ long rope.

$	herefore$ The cow can graze in the minor sector

Vedclass · Accepted Answer

$7.065$

Vedclass · Answer

Suppose, the cow is tethered at the vertex $A$ of the square field $ABCD$ by a $3\,m$ long rope.

$	herefore$ The cow can graze in the minor sector $APQR$ inside the field.

For minor sector $APQR$, radius $r=$ length of the rope $=3 m$ and the measure of the angle $	heta=90 \quad(\angle A$ of square $ABCD )$

Area of minor sector $APQR =\frac{\pi r^{2} 	heta}{360}$

$=\frac{3,14 	imes 3 	imes 3 	imes 90}{360}$

$=7.065 m ^{2}$

Thus, the cow can graze in $7.065 m ^{2}$ region inside the field.

The length of a square field is $50\, m .$ A cow is tethered at one of the vertices by a $3\, m$ long rope. Find the area of the region of the field in which the cow can graze. $(\pi=3.14)$ (in $m^2$)

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