In a square field labeled ABCD, with each side measuring 30 meters, lush grass covers the ground, enclosed by iron wires. Four cows, Red, Black, White, and Brown, are tethered by ropes at the corners A, B, C, and D respectively of the square field. Each rope has a length of 14 meters. The cows are restricted to grazing only within the confines of the square field. (Use π = 22/7)Q 113. What is the area (in sq. meter) of grass that the red cow can graze?a) 77b) 115.5c) 154d) 184
Question
In a square field labeled ABCD, with each side measuring 30 meters, lush grass covers the ground, enclosed by iron wires. Four cows, Red, Black, White, and Brown, are tethered by ropes at the corners A, B, C, and D respectively of the square field. Each rope has a length of 14 meters. The cows are restricted to grazing only within the confines of the square field. (Use π = 22/7)Q 113. What is the area (in sq. meter) of grass that the red cow can graze?a) 77b) 115.5c) 154d) 184
Solution
The area that the red cow can graze can be calculated using the formula for the area of a circle, which is πr². Here, r is the length of the rope, which is 14 meters.
So, the total area that the red cow can graze if it was not restricted by the square field would be π(14)² = 22/7 * 14 * 14 = 616 square meters.
However, since the cow is tethered at corner A of the square field, it can only graze in the quarter of this total area.
So, the area of grass that the red cow can graze is 616/4 = 154 square meters.
Therefore, the correct answer is c) 154.
Similar Questions
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