Question

Four goats are tethered at four corners of a square plot of side 2 metres (m) so that the adjacent goats can just reach one another. There is a small circular pond of area 0.5 m² at the centre. Find the ungrazed area.

• A. 0.2m²
• B. 0.36m²
• C. 0.5m²
• D. 1m²

Answer 1

The correct option is B

0.36m²

If the 4 goats are tethered at the corners of the square, the ungrazed area can be shown in the shaded region below.

The above diagram excluding the area of the pond can also be shown as, where the ratio between the area of the square & the circle will be 4:$\pi$. The ungrazed area = 4 - $\pi$ - 0.5 = 0.36 m${}^2$. Answer is option (b)