Question
A wire is bent to form a square which covers an area of 36
cm². Later, it is reshaped into a circle. What is the area enclosed by the circle? (Use π = 3)Solution
ATQ,
Let length of one side of the square = ‘a’ cm
So, a² = 36
Or, a = 6 (We consider only the positive root as length cannot be negative)
Length of the wire = Perimeter of the square = 6 × 4 = 24 cm
Circumference of the circle = 24 cm
Let the radius of the circle = ‘r’ cm
So, 24 = 2 × π × r
Or, r = (24/6)
Or, r = 4 cm
Area of circle = πr² = 3 × 4 × 4 = 48 cm²
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