Find the radius of the circle:

A piece of string is in the form of a rectangle 8.9 cm long and 5.4 cm broad is reshaped and into the form of a circle.Find the radius of the circle:

  1. 7.8 cm
  2. 6 cm
  3. 4.55 cm
  4.  none of these
Monis Rasool Professor Asked on 7th January 2016 in Maths.
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1 Answer(s)

Answer: (3) 4.5 cm 

Explanation:-
The length of the rectangle = 9.8 cm
The breadth of the rectangle = 5.4 cm

Then,  area of the rectangle = 9.8 x 5.4
=  52.92 cm²

Rectangle reshaped  into the form of a circle.
πr² = 52.92
r² = 52.92 x 7/22
r² = 370.65/22
r² = 16.847
Square root on both side,
r = 4.10

Then, the value of the radius is 4.5 cm (Approximately)

Hence, the correct answer is option (3) 4.5 cm

Anurag Mishra Professor Answered on 8th January 2016.
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