Question

The length of rope by which a cow is tethered to one end of a corner of rectangle increased from 16 to 23m how much additional area can cow graze now

Answer 1

hello friend here's your answer in the attachment.
hope it helps

Answer 2

Answer:

$Additional \:area \: cow\:graze\\=214.5\:m^{2}$

Step-by-step explanation:

From the above figure,

The sectors represents the grazing areas of a cow.

The angles of a sectors (x)=90°

Radius of the sector OPS (r) = 16 cm

Radius of the sector OQR (R) =23 cm

$Additional \:area \: cow\:graze\\=Shaded \:region \\=Area \:of\:sector\:OPS \\-Area\:of\:sector\:OQR \\=\frac{\pi }{4}(R^{2})-\frac{\pi }{4}(r^{2})\\=\frac{\pi }{4}(R^{2}-r^{2})\\=\frac{\pi }{4}(R+r)(R-r)$

$=\frac{22}{7}\times \frac{1}{4}[(23+16)(23-16)]\\=\frac{22}{7}\times \frac{1}{4}\times 39\times 7\\=214.5\:m^{2}$

Therefore,

$Additional \:area \: cow\:graze\\=214.5\:m^{2}$

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