Q. 1084.7( 3 Votes )

# Priyanka took a wire and bent it to form a circle of radius 14 cm. Then she bent it into a rectangle with one side 24 cm long. What is the length of the wire? Which figure encloses more area, the circle or the rectangle?

Answer :

Given, radius of the circle = 14 cm

and length of the rectangle = 24 cm

Since the same wire is rebent to form different shapes,

Perimeter of rectangle = Circumference of circle

2 × (l + b) = 2∏r

2 × (24 + b) = 2 × × 14

24 + b = 44

⇒ b = 44 - 24 = 20 cm

Area of rectangle = l × b = 24 × 20 = 480 cm^{2}

And area of circle = ∏r^{2} = × 14 × 14 = 616 cm^{2}

Hence, circle encloses more area than the rectangle.

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