RRB NTPC Mains or Stage 2 Model Paper 10 with solutions

Question : 17 of 120

Marks: +1, -0

The area of a rectangle is equal to the area of a circle with circumference equal to 220 metres. What is the length of the rectangle if its breadth is 50 metres?

56 metres
83 metres
77 metres
69 metres

Validate

Solution:

(r)= {circumference}/{2π }={220×7} /{2×22}= 35m

area of circle

= π r^2 22/7× (35)^2 =22 /7×35× 35

3850 m^2

= area of rectangle
∴Length of rectangle

={area of rectangle}/{width}

= 3850/50 = 77m.

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