Question : The area of a square is 1296 cm² and the radius of a circle is $\frac{7}{6}$ of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use $\pi=\frac{22}{7}$ ]
Option 1: 13 : 11
Option 2: 8 : 11
Option 3: 6 : 11
Option 4: 3 : 7

Question

Question : The area of a square is 1296 cm² and the radius of a circle is $\frac{7}{6}$ of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use $\pi=\frac{22}{7}$ ]

Option 1: 13 : 11

Option 2: 8 : 11

Option 3: 6 : 11

Option 4: 3 : 7

Team Careers360 · Accepted Answer

Correct Answer: 6 : 11

Solution : Area of the square = 1296 cm$^2$
Radius of the circle = $\frac{7}{6}$ of the length of a side of the square
Area of the square = Side$^2$ = 1296
Side = $\sqrt{1296}$ = 36 cm
Now, Radius of circle = $\frac{7}{6} imes 36$ = 42 cm
Perimeter of the square = 4 × Side
Perimeter of the square = 4 × 36 = 144 cm
Circumference of the circle = $2\pi r$
Circumference of circle = $2 imes \frac{22}{7} imes 42 = 44 imes 6$ = 264 cm
The ratio of the perimeter of the square and the circumference of the circle = $\frac{144}{264}= \frac{6}{11}$ = 6 : 11
$ herefore$ The ratio of the perimeter of the square and the circumference of the circle is 6 : 11.
Hence, the correct answer is 6 : 11.

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Question : The area of a square is 1296 cm2 and the radius of a circle is 76 of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use π=227 ]Option 1: 13 : 11Option 2: 8 : 11Option 3: 6 : 11Option 4: 3 : 7

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