A wire is in the form of a rectangle 18.7 cm long and 14.3 cm wide. If this wire is reshaped and bent in the form of a circle, find the radius and the area of the circle so formed.
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Perimeter of rectangle = Length of wire = 2(l+b)
= 2(18.7+14.3)
= 2×33 = 66cm
Since the wire is reshaped into a circle,
Perimeter of the circle = Length of wire
2πr = 66 -------> 2×22/7×r = 66
r = 66×7/44 = 10.5 cm
Area of circle = πr² = 22/7 × 10.5² = 346.5 cm²
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