Question
Puja has two ropes measuring 5 m and 6 m. She ties a goat at point A with the 5 m rope and ties another goat at point B with the 6 m rope. Find out the ratio of areas grazed at point A and point B. The goats can only move inside the field.
Answer: Option A
:
A
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A
The area grazed by both the goats will be circular in shape as they are moving at a constant distance from a fixed point.
Hence, the area grazed when a goat is tied at a point with a rope would be a circle with radius equal to the length of the rope.
Area of a circle = πr2.
Hence, the required ratio = Area at AArea at B
= (πrAπrB)2
=(rArB)2
= (56)2 = 25:36 .
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