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A wire in the form of a rectangle 18.7 cm long and 14.3 cm wide is reshaped and bent into the form of a circle. Find the radius of the circle formed.

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5.6 cm

7.3 cm

9.4 cm

10.5 cm

answer is D.

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Detailed Solution

Given a wire in the form of a rectangle 18.7 cm long and 14.3 cm wide is reshaped and bent into the form of a circle.
According to the question,
perimeter of the circle = perimeter of the rectangle

2 π r = 2 l + b

⇒ 2 π r = 2 18.7 + 14.3

⇒ 2 × 227 × r = 2 × 33

⇒ r = 2 × 33 × 7 22 × 2

⇒ r = 3 × 7 2

⇒ r = 212

⇒ r = 10.5 c m

Therefore, the radius of the circle is 10.5 cm.
Hence, option 4 is correct.

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