Question

Four horses are tethered at four corners of a square plot of side 14 m so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m² at the centre. Find the ungrazed area.

• A. 22 m²
• B. 42 m²
• C. 3.84 m²
• D. 168 m²

Hint:

To find the ungrazed area, subtract the area of the pond from the total area of the square.

Answer 1

The Correct Option is C

The total area of the square plot is: \[ A_{\text{square}} = 14^2 = 196 \, \text{m}^2 \] The area of the pond is 20 m². The total area grazed by the horses is the area of the square minus the area of the pond. The ungrazed area is: \[ A_{\text{ungrazed}} = A_{\text{square}} - A_{\text{pond}} = 196 - 20 = 3.84 \, \text{m}^2 \] Thus, the ungrazed area is 3.84 m².