Ducting the path = (261850) - 130900
A horse is tied to a pole fixed at one corner of a 30 m 30 m square fed
means of 10 m long rope. Find
(i) the area of that part of the field in which the horse can graze.
(ii) the increase in the grazing area, if the rope were 20 m long instead of
long.
(iii) what will be the area in (i) if the pole were fixed on a side, some
middle?
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Answer:
(i) 25 π
(ii) 75 π
(iii) 50π
Step-by-step explanation:
Use the formula:
A = ∅ r² / 2
where A is area, ∅ is angle swept in radians, r is radius
therefore for (i) angle is π/2, and r is 10.
for (ii) we have to do ∅/2 x (R²-r²) where ∅ is π/2, R is 20, r is 10.
(iii) is similar to (i), only ∅ is changed to π.
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