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A horse is placed for grazing inside a square field 12 cm long and is tethered to one corner by a rope 8 cm long. What is the area it can graze?

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50.18 sq. cm

50.28 sq. cm

50.38 sq. cm

50.48 sq. cm

answer is B.

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Detailed Solution

Given, a horse is placed for grazing inside a square field 12 cm long and is tethered to one corner by a rope 8 cm long.
Area of a quadrant is

\frac{π r^{2}}{4}

.
Let the grazed portion is shown by shaded quadrant ABC,
So, the area required =

\frac{1}{4} π (length of rope)^{2}

.
Hence, area which horse can graze

= \frac{1}{4} π (8)^{2}

\Rightarrow

Area which horse can graze

= \frac{1}{4} \times \frac{22}{7} \times 64

\Rightarrow

Area which horse can graze

= 50.28

sq cm
Hence, option 2 is correct.

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