Four horses are tethered with ropes measuring 7 m each to the four corners of a rectangular grass land 21 m # 24 m in dimension. find (i) the maximum area that can be grazed by the horses and (ii) the area that remains ungrazed.
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Dimensions of grass field,
length, l = 21 m
breadth, b = 24 m
Dimensions of horse attached to corner,
radius, r = 7 m
sector angle, ∅ = 90°
Area of field = l×b
= 21 × 24
= 504 m²
Area of field grazed by one horse
= πr²/4
Area of field grazed by 4 horses
= 4πr²/4
= πr²
= 22/7 × 7 × 7
= 22 × 7
= 154 m²
(I) The maximum area that can be grazed by the horses is 154 m².
(II) The area that remains ungrazed
= 504 - 154
= 350 m²
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length, l = 21 m
breadth, b = 24 m
Dimensions of horse attached to corner,
radius, r = 7 m
sector angle, ∅ = 90°
Area of field = l×b
= 21 × 24
= 504 m²
Area of field grazed by one horse
= πr²/4
Area of field grazed by 4 horses
= 4πr²/4
= πr²
= 22/7 × 7 × 7
= 22 × 7
= 154 m²
(I) The maximum area that can be grazed by the horses is 154 m².
(II) The area that remains ungrazed
= 504 - 154
= 350 m²
Hope it may help you!!!
Plz mark as brainlest!!!!
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