Question

A horse is tied with a rope of length 7m at one corner of the square field having side equal to 10m.find the minimum area of the square field that is left ungrazed.

Answer 1

A horse is tied with a rope of length 7m at one corner of the square field having side equal to 10m. find the minimum area of the square field that is left ungrazed.

Solution:

The square field that is left ungrazed will be as a difference between square of quadrate and square of a circle quarter with $R = 7$:

$$S \text{ ungrazed} = S \text{ quadrate} - \frac{1}{4} S \text{ circle} = 10^2 - \frac{1}{4} * 3.142 * 7^2 = 61.51 \, \text{m}^2$$

Answer: 61.51 m²