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  • A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m. Find the area of the field in which the cow can graze.

A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m. Find the area of the field in which the cow can graze.

Answers (1)

154 m2

Solution

\because Area of circle =\pi r^{2}

According to question

     

In the figure we see that the area graze by cow is in the form of fourth part of a circle

 

 Hence area grazes by cow =\frac{\theta}{360^{\circ}}\times \pi r^{2}        here \theta=90^{\circ}

                        =\frac{1}{4} \times \pi r^{2}              (Because Area of circle \pi r^{2}

                        =\frac{1}{4} \times \frac{22}{7}\times 14 \times 14

                        =11 \times 14=154 m^{2}

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infoexpert24

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