3. A metal wire bent in the form of a square of largest area encloses an area of 1225 cm². The same wire is now bent to a largest circle.
Find the area of the circle.
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We have a square of 484 cm^2. The length of the side of the square is the square root of 484 which is 22. The perimeter of the square is 4 times 22 or 88 cm. The formula for finding the circumference of a circle is D times pi = Circumference. D times pi = 88 Divide by pi.
D=pi/88 or 28.011 rounded to 28 cm. Radius = Diametor/2 or 28/2 or 14 cm. The formula for area of a circle is pi R^2=A or 3.1416 x 14^2. or 615.7 cm^2. VOILA!
The length of the wire is 88 cm. Radius is 14 cm and area is 615 cm^2.
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