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RRB Assistant Loco Pilot and Technician Model Paper 4 with solutions
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© examsnet.com
Question : 13
Total: 75
A steel wire when bent in the form of a square encloses an area of 121 sq. cm. If the same wire is bent into the form of a circle, the area of the circle is—
88 sq. cm
142 sq. cm
154 sq. cm
212 sq. cm
Validate
Solution:
Let side of square = x cm
then area of the square =
x
2
= 121
x = 11 cm
From Question
Perimeter of the square = Circumference of the circle
⇒ 4 × x = 2 π r (r = radius of the circle)
⇒ 4 × 11 = 2 ×
22
7
× r
⇒ r = 7
∴ Area of the circle = π ×
r
2
=
22
7
×
7
2
= 154 sq. cm
© examsnet.com
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