Two goats are tied to two adjacent corners of a square plot of side 28m with ropes each of 14m. Find the area not grazed by the goats.
Answers
Answer:area of the whole square plot=28*28=784 square metre
Area based by two goats=22/7*14*14 + 22/7*14*14
=616/4+616/4
=308square metre
Area not gazed by goats=784-308
=476square metre
Step-by-step explanation:
The area not grazed by the goats is 476 m².
Given,
Two goats are tied to two adjacent corners of a square plot of side 28m with ropes each of 14m
To Find,
The area not grazed by the goats.
Solution,
The area not grazed by the goats = Area of the square plot - Area grazed by the goats.
Now,
Area of the square plot = 28*28 = 784 m²
Now,
The area grazed by the goats = 2(1/4πr²)
where r = 14 m as the length of the rope will be the radius of the quarter circle.
The area grazed by the goats = 2(1/4*22/7*14*14)
The area grazed by the goats = 1/2*22*2*14 = 308 m²
So,
The area not grazed by the goats = 784-308 = 476 m²
Hence, the area not grazed by the goats is 476 m².
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