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Infinity Learn Embibe ScoreKhel Topics: Circle A man has bent a circular wire of radius 49cm to form a square. Find the sides of a square. 100cm 50cm 98cm

Infinity Learn\newlineEmbibe\newlineScoreKhel\newlineTopics: Circle\newlineA man has bent a circular wire of radius 49cm49\text{cm} to form a square. Find the sides of a square.\newline100cm100\text{cm}\newline50cm50\text{cm}\newline98cm98\text{cm}

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Q. Infinity Learn\newlineEmbibe\newlineScoreKhel\newlineTopics: Circle\newlineA man has bent a circular wire of radius 49cm49\text{cm} to form a square. Find the sides of a square.\newline100cm100\text{cm}\newline50cm50\text{cm}\newline98cm98\text{cm}
  1. Find Circumference of Circle: First, we need to find the circumference of the original circle, which is given by the formula C=2πrC = 2\pi r, where rr is the radius of the circle.\newlineGiven radius r=49r = 49 cm, we calculate the circumference CC.\newlineC=2×π×49C = 2 \times \pi \times 49\newlineC=2×3.14159×49C = 2 \times 3.14159 \times 49\newlineC≈2×3.14159×49≈307.876C \approx 2 \times 3.14159 \times 49 \approx 307.876 cm
  2. Calculate Perimeter of Square: The circumference of the circle is equal to the perimeter of the square since the wire is bent to form the square. The perimeter of a square is given by P=4sP = 4s, where ss is the length of one side of the square.\newlineWe have the perimeter PP equal to the circumference CC, so:\newlineP=CP = C\newline4s=307.8764s = 307.876 cm
  3. Find Length of Square Side: To find the length of one side of the square, we divide the perimeter by 44.\newlines=P4s = \frac{P}{4}\newlines=307.876 cm4s = \frac{307.876 \, \text{cm}}{4}\newlines≈76.969 cms \approx 76.969 \, \text{cm}

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