A wire of length 110 m is to be bent in the form of a circle and then in the form of a square Find the ratio of the areas of two figures. pls answer with full explanation
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Answer: 14 : 11
Explanation:
When wire is bent in the form of circle:
2πr = 110
⇒ πr = 55
⇒ π²r² = 55² = 3025
⇒ πr² = 3025/π = 3025×7/22 = 962.5 m² = Area of circle
When wire is bent in the form of square:
4s = 110
s = 27.5 ⇒ s² = 756.25 m² = Area of square
Ratio = 962.5 : 756.25 = 3850 : 3025 = 14 : 11
Hope it helped
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