A wire is in the form of a circle of radius 35 metre is cut and again bent in the form of a square. What is the diagonal of the square?
Question
A wire is in the form of a circle of radius 35 metre is cut and again bent in the form of a square. What is the diagonal of the square?
Solution
Sure, here are the steps to solve the problem:
Step 1: Find the circumference of the circle. The formula for the circumference of a circle is 2πr, where r is the radius. So, the length of the wire is 2π*35 = 70π meters.
Step 2: This wire is bent into a square. The perimeter of a square is 4 times the length of one side. So, each side of the square is 70π/4 = 17.5π meters.
Step 3: The diagonal of a square is given by the formula √2 * side. So, the diagonal of the square is √2 * 17.5π = 24.74π meters.
So, the diagonal of the square is approximately 77.78 meters.
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