Four cows are tied at 4 corners (one at each corner) of a rectangular field of length 30 m and width 20m. The length of the rope is 7 m. What is the area of the field that cows CANNOT graze? (Use π = 22/7)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 446 m2.
Area of the rectangular field = length × breadth = 30 × 20 = 600 m2
Length of the rope = 7 m
Area grazed by a cow at one corner = πr2/4
Area grazed by a cow at 4 corners = πr2
⇒ 22/7 × 7 × 7 = 154 m2
Area of the field not grazed = Area of the field - Area of the circle
Area of the field not grazed = 600 - 154 = 446 m2