An ant is taking circular rounds around a sack of grain. She covers a distance of 42 meters by taking 4 rounds. What is the area of the circular shape that she forms by taking rounds along the sack of grain?
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9.1 sq. m
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10 sq. m
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10.5 sq. m
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9.2 sq. m
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None of these
A
Correct answer
Explanation
Distance covered in 4 rounds = 42 m
Distance covered in 1 round = 42 / 4
=10.5 m
Distance covered in 1 round = Circumference of the circle
= >2 * pi * radius = 10.5 m
radius =10.5 m / (2 * pi) = 1.7 m
Area of the circular shape = pi * radius * radius
=>3.14 * 1.7 * 1.7
= 9.1 sq. m.
Ans. 9.1 sq. m