The circumference of a circle is 2 cm more than the perimeter of rectangle and the length of rectang...........

Quantitative Aptitude(IBPS RRB CL) Mensuration 2D

The circumference of a circle is 2 cm more than the perimeter of rectangle and the length of rectangle is equal to the diameter of circle. If the breadth of rectangle is half of the diameter of the circle, what is the radius of the circle?

7 cm

2 cm

4 cm

14 cm

21 cm

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Explanation:

Let the radius of the circle = r cm, then
Length of the rectangle = Diameter of circle = 2r cm
Breadth of the rectangle = Half of the diameter of circle = r cm
According to question
Circumference of a circle – Perimeter of rectangle = 2 cm