Question

The area of square is $1296 cm^2$ and the radius of 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 ?

• A. 7 : 6
• B. 5 : 4
• C. 6 : 11
• D. 11 : 6

Answer 1

Answer:

C. 6 : 11

Area of Square $= 1296 cm^2$

ie., $a^2=1296$

$a=36$

radius of circle is $\frac{7}{6}$ of the length of a side of the square

$r=\frac{7}{6}a$

$r=\frac{7}{6}\times{36}$

$r=42cm$

Perimeter of square $=4a$

Circumference of Circle $=2\pi{r}$

=>4\times{36}:2\times{\frac{22}{7}}\times{42}

=>6 : 11