Mensuration Practice Test 9

Question : 18 of 40

Marks: +1, -0

A metal wire when bent in the form of a square encloses an area of 484

cm^2

. If the same wire is bent in the form of a circle, then (taking π = 22/7) its area is:

Solution:

Side of the square =

√{484}

= 22 cm
Perimeter of the square = 4 × side
= 4 × 22 = 88 cm
Circumference of the circle = 88 cm

2×{22}/7 × r

= 88
r = 14 cm
Area of circle =

{22}/7 × 14 × 14

= 616

cm^2

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