Four horses are tethered at four corners of a square plot of side 14 m so that the adjacent horses c...........

Quantitative Aptitude ( CCS) Mensuration 2D

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.

22 m²

24 m²

32 m²

28 m²

छोटे Courses बड़े Results

Master Mensuration 2D

Prepare through Micro-courses

Try Now

Explanation:

When adjacent horses can just touch each another, it means that they meet halfway along the side of the square i.e. is 7 metre.
The radius of the quarter circle is 7 metre. Four quarter circles makes one circle of radius 7 m and this area
= (7 x 7) m² or 154 m². The plot has an area of 14 x 14 = 196 m².
The horses will have to stray away from the grass in area 196 – 154 = 42 square metre.
But there is a pond of 20 m².
So the area left ungrazed is 42 – 20 = 22 m².